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Finding the Fourth Proportional to 515,569.40, 773,354.10 and 409,815.80

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Solution

The fourth proportional to 515,569.40, 773,354.10 and 409,815.80 is: 614,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,569.40 : 773,354.10 = 409,815.80 : x
  2. Step 2: Convert to fraction form
    515,569.40/773,354.10 = 409,815.80/x
  3. Step 3: Cross multiply
    515,569.40x = 773,354.10 × 409,815.80
  4. Step 4: Simplify right side
    515,569.40x = 316,932,729,174.78
  5. Step 5: Solve for x
    x = 316,932,729,174.78/515,569.40
  6. Step 6: Final answer
    x = 614,723.70

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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.