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Finding the Fourth Proportional to 462,519.52, 638,227.96 and 258,548.97

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Solution

The fourth proportional to 462,519.52, 638,227.96 and 258,548.97 is: 356,770.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,519.52 : 638,227.96 = 258,548.97 : x
  2. Step 2: Convert to fraction form
    462,519.52/638,227.96 = 258,548.97/x
  3. Step 3: Cross multiply
    462,519.52x = 638,227.96 × 258,548.97
  4. Step 4: Simplify right side
    462,519.52x = 165,013,181,683.20
  5. Step 5: Solve for x
    x = 165,013,181,683.20/462,519.52
  6. Step 6: Final answer
    x = 356,770.20

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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.