One of China's main achievements during the Han dynasty was: sending troops to attack parts of Europe
building ships that could travel long distances
cutting off China from all foreign trade
destroying the belief system of Legalism.

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Explanation:

The country correctly paired with its primary source of wealth in its New World colonies it's A) Dutch: trading furs.

The Dutch have been sending  ships annually to the Hudson river to trade fur since Henry Hudson's voyage in 1609. It ultimately proved impossible to monopolize due to the illegal fur trade.