HVT 4 ENG PAX CARGO FLT DEPARTED RWY WHEN THE FO LOST ACFT CTL AFTER THE PWR ON #4 ENG DID NOT COME UP AS QUICKLY AS THE OTHER 3 ENGS DURING TKOF ROLL ON AN ICING RWY WITH ONLY FAIR BRAKING ACTION RPTED. THERE WAS NO ACFT; OR ARPT LIGHTS; DAMAGED.

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THE ACFT BLOCKED OUT FOR DEP AT XA50. THE ACFT WAS CLRED FOR TAXI BY THE GND CTLR TO TAXI TO RWY 33 VIA TXWY A. AS THE ACFT APCHED THE END OF THE TXWY IT WAS CLRED FOR TKOF; THE TIME XB00. IT WAS TO BE THE FO'S LEG TO FLY. THE CAPT ANNOUNCED IT WAS GOING TO BE A ROLLING TKOF. COMPANY PROCS STATE THAT THE CAPT ALIGNS THE ACFT ON THE RWY; SETS PWR BEFORE GIVING THE ACFT TO THE FO. AS THE ACFT WAS TURNING ONTO THE RWY; PWR WAS ADVANCED. ENGS #1; #2; AND #3 SPOOLED UP BUT #4 LAGGED. THIS CREATED A LARGE PWR DIFFERENTIAL. THE NOSE GEAR SLID TO THE R MAKING THE ACFT YAW TO THE R AND END UP PERPENDICULAR TO THE RWY. AS THE NOSE OF THE ACFT CROSSED THE CTRLINE OF THE RWY; REVERSE WAS APPLIED. IT WAS NOT NOTED WHICH ENGS AS I WAS LOOKING OUT OF THE ACFT. VISION WAS OBSCURED FROM SNOW BLOWING FROM REVERSING AND A HAZE (SNOW FOG) CREATED BY ENG EXHAUST. THE ACFT SLID DOWN AN INCLINE BACK ONTO TXWY A BEFORE STOPPING. THE PREVIOUS MANEUVER TOOK PLACE WITHIN 100 FT FROM THE TKOF POINT. THE AREA BTWN THE RWY AND TXWY WAS FROZEN TUNDRA. NO RWY OR TXWY LIGHTS WERE HIT; NO BUMPS WERE FELT. THE TWR ASKED IF ANY ASSISTANCE WAS REQUIRED. WE STATED NO; AND THAT EVERYONE WAS REMAINING ON THE ACFT. THE TWR ASKED IF WE WERE READY FOR TKOF. THEY WERE TOLD TO STAND BY. THE CAPT MADE A CHK TO SEE IF ALL SYS WERE OPERATING NORMALLY AND ANNOUNCED WE WERE READY FOR DEP. THE ACFT WAS CLRED FOR TKOF AND A NORMAL DEP MADE. THE CAPT SHOULD HAVE NOT MADE A ROLLING TKOF. THE BRAKING ACTION WAS RPTED AS (FAIR) BUT THE RWY WAS SLIPPERY. A ROLLING TKOF WITH MINIMAL PWR WOULD HAVE BEEN ACCEPTABLE; BUT WITH AS MUCH PWR AS WAS ADDED; COMBINED WITH A SLOW SPOOLING ENG; THE NOSE SLIDING WAS SURE TO HAPPEN. A ROLLING TKOF WAS NOT REQUIRED AND A STANDING TKOF WOULD HAVE BEEN THE BETTER OPTION. ALSO; MORE INPUT FROM THE CREW WOULD HAVE BEEN BETTER PRIOR TO TKOF AS THIS DECISION FOR A ROLLING TKOF WAS MADE AS PWR WAS APPLIED FOR TKOF.