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Finding the Fourth Proportional to 755,704, 1,042,855.68 and 416,175.04

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Solution

The fourth proportional to 755,704, 1,042,855.68 and 416,175.04 is: 574,312.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    755,704 : 1,042,855.68 = 416,175.04 : x
  2. Step 2: Convert to fraction form
    755,704/1,042,855.68 = 416,175.04/x
  3. Step 3: Cross multiply
    755,704x = 1,042,855.68 × 416,175.04
  4. Step 4: Simplify right side
    755,704x = 434,010,504,338.23
  5. Step 5: Solve for x
    x = 434,010,504,338.23/755,704
  6. Step 6: Final answer
    x = 574,312.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.