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Finding the Fourth Proportional to 415,266.28, 572,394.42 and 324,463.88

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Solution

The fourth proportional to 415,266.28, 572,394.42 and 324,463.88 is: 447,234.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,266.28 : 572,394.42 = 324,463.88 : x
  2. Step 2: Convert to fraction form
    415,266.28/572,394.42 = 324,463.88/x
  3. Step 3: Cross multiply
    415,266.28x = 572,394.42 × 324,463.88
  4. Step 4: Simplify right side
    415,266.28x = 185,721,314,403.55
  5. Step 5: Solve for x
    x = 185,721,314,403.55/415,266.28
  6. Step 6: Final answer
    x = 447,234.28

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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.