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Finding the Fourth Proportional to 498,543.50, 748,003.72 and 195,154.48

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Solution

The fourth proportional to 498,543.50, 748,003.72 and 195,154.48 is: 292,805.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,543.50 : 748,003.72 = 195,154.48 : x
  2. Step 2: Convert to fraction form
    498,543.50/748,003.72 = 195,154.48/x
  3. Step 3: Cross multiply
    498,543.50x = 748,003.72 × 195,154.48
  4. Step 4: Simplify right side
    498,543.50x = 145,976,277,553.26
  5. Step 5: Solve for x
    x = 145,976,277,553.26/498,543.50
  6. Step 6: Final answer
    x = 292,805.50

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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.