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Finding the Fourth Proportional to 746,189.16, 1,029,711 and 406,650.12

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Solution

The fourth proportional to 746,189.16, 1,029,711 and 406,650.12 is: 561,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,189.16 : 1,029,711 = 406,650.12 : x
  2. Step 2: Convert to fraction form
    746,189.16/1,029,711 = 406,650.12/x
  3. Step 3: Cross multiply
    746,189.16x = 1,029,711 × 406,650.12
  4. Step 4: Simplify right side
    746,189.16x = 418,732,101,715.32
  5. Step 5: Solve for x
    x = 418,732,101,715.32/746,189.16
  6. Step 6: Final answer
    x = 561,160.79

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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.