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Finding the Fourth Proportional to 411,229.20, 616,843.80 and 411,229.20

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Solution

The fourth proportional to 411,229.20, 616,843.80 and 411,229.20 is: 616,843.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,229.20 : 616,843.80 = 411,229.20 : x
  2. Step 2: Convert to fraction form
    411,229.20/616,843.80 = 411,229.20/x
  3. Step 3: Cross multiply
    411,229.20x = 616,843.80 × 411,229.20
  4. Step 4: Simplify right side
    411,229.20x = 253,664,182,398.96
  5. Step 5: Solve for x
    x = 253,664,182,398.96/411,229.20
  6. Step 6: Final answer
    x = 616,843.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.