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Finding the Fourth Proportional to 498,996.72, 748,496.16 and 125,020.80

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Solution

The fourth proportional to 498,996.72, 748,496.16 and 125,020.80 is: 187,531.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,996.72 : 748,496.16 = 125,020.80 : x
  2. Step 2: Convert to fraction form
    498,996.72/748,496.16 = 125,020.80/x
  3. Step 3: Cross multiply
    498,996.72x = 748,496.16 × 125,020.80
  4. Step 4: Simplify right side
    498,996.72x = 93,577,588,720.13
  5. Step 5: Solve for x
    x = 93,577,588,720.13/498,996.72
  6. Step 6: Final answer
    x = 187,531.47

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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.