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Finding the Fourth Proportional to 458,781.48, 688,016.28 and 174,403.44

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Solution

The fourth proportional to 458,781.48, 688,016.28 and 174,403.44 is: 261,545.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,781.48 : 688,016.28 = 174,403.44 : x
  2. Step 2: Convert to fraction form
    458,781.48/688,016.28 = 174,403.44/x
  3. Step 3: Cross multiply
    458,781.48x = 688,016.28 × 174,403.44
  4. Step 4: Simplify right side
    458,781.48x = 119,992,406,008.00
  5. Step 5: Solve for x
    x = 119,992,406,008.00/458,781.48
  6. Step 6: Final answer
    x = 261,545.88

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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.