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Finding the Fourth Proportional to 462,732.52, 638,566.38 and 258,781.12

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Solution

The fourth proportional to 462,732.52, 638,566.38 and 258,781.12 is: 357,115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,732.52 : 638,566.38 = 258,781.12 : x
  2. Step 2: Convert to fraction form
    462,732.52/638,566.38 = 258,781.12/x
  3. Step 3: Cross multiply
    462,732.52x = 638,566.38 × 258,781.12
  4. Step 4: Simplify right side
    462,732.52x = 165,248,923,010.75
  5. Step 5: Solve for x
    x = 165,248,923,010.75/462,732.52
  6. Step 6: Final answer
    x = 357,115.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.