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Finding the Fourth Proportional to 733,064.97, 1,011,629 and 406,398.86

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Solution

The fourth proportional to 733,064.97, 1,011,629 and 406,398.86 is: 560,830.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,064.97 : 1,011,629 = 406,398.86 : x
  2. Step 2: Convert to fraction form
    733,064.97/1,011,629 = 406,398.86/x
  3. Step 3: Cross multiply
    733,064.97x = 1,011,629 × 406,398.86
  4. Step 4: Simplify right side
    733,064.97x = 411,124,872,342.94
  5. Step 5: Solve for x
    x = 411,124,872,342.94/733,064.97
  6. Step 6: Final answer
    x = 560,830.06

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