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Finding the Fourth Proportional to 417,622.31, 576,319.17 and 226,635.71

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Solution

The fourth proportional to 417,622.31, 576,319.17 and 226,635.71 is: 312,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,622.31 : 576,319.17 = 226,635.71 : x
  2. Step 2: Convert to fraction form
    417,622.31/576,319.17 = 226,635.71/x
  3. Step 3: Cross multiply
    417,622.31x = 576,319.17 × 226,635.71
  4. Step 4: Simplify right side
    417,622.31x = 130,614,504,279.56
  5. Step 5: Solve for x
    x = 130,614,504,279.56/417,622.31
  6. Step 6: Final answer
    x = 312,757.49

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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.