某工厂按3∶3∶4的比例购进了ABC三种原材料，实际使用时发现三种原材料消耗比例为2∶2∶3。当某原材料用完时，发现另外两种原材料共剩下100吨。请问此时至少新购进多少吨原材料，使得三种原材料刚好同时用完？

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