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Finding the Fourth Proportional to 475,115.31, 712,583.87 and 238,394.43

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Solution

The fourth proportional to 475,115.31, 712,583.87 and 238,394.43 is: 357,546.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,115.31 : 712,583.87 = 238,394.43 : x
  2. Step 2: Convert to fraction form
    475,115.31/712,583.87 = 238,394.43/x
  3. Step 3: Cross multiply
    475,115.31x = 712,583.87 × 238,394.43
  4. Step 4: Simplify right side
    475,115.31x = 169,876,024,323.87
  5. Step 5: Solve for x
    x = 169,876,024,323.87/475,115.31
  6. Step 6: Final answer
    x = 357,546.94

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Why These Related Problems?

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