Final answer:
The United States established the Open Door policy in China to ensure equal trade opportunities for all countries and prevent any one power from gaining an advantage.
Step-by-step explanation:
The United States established the Open Door policy in China to ensure equal trade opportunities for all countries and prevent any one power from gaining an advantage over the others. The policy was initiated by John Hay, the U.S. secretary of state, who urged several nations to sign a treaty with China in 1900. The treaty allowed all countries to trade with China on the same terms, without annexing any of China's territory.