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Finding the Fourth Proportional to 411,761.54, 568,225.05 and 227,982.55

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Solution

The fourth proportional to 411,761.54, 568,225.05 and 227,982.55 is: 314,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,761.54 : 568,225.05 = 227,982.55 : x
  2. Step 2: Convert to fraction form
    411,761.54/568,225.05 = 227,982.55/x
  3. Step 3: Cross multiply
    411,761.54x = 568,225.05 × 227,982.55
  4. Step 4: Simplify right side
    411,761.54x = 129,545,394,452.32
  5. Step 5: Solve for x
    x = 129,545,394,452.32/411,761.54
  6. Step 6: Final answer
    x = 314,612.66

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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.