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Finding the Fourth Proportional to 465,447.44, 698,157.20 and 128,508.66

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Solution

The fourth proportional to 465,447.44, 698,157.20 and 128,508.66 is: 192,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,447.44 : 698,157.20 = 128,508.66 : x
  2. Step 2: Convert to fraction form
    465,447.44/698,157.20 = 128,508.66/x
  3. Step 3: Cross multiply
    465,447.44x = 698,157.20 × 128,508.66
  4. Step 4: Simplify right side
    465,447.44x = 89,719,246,562.62
  5. Step 5: Solve for x
    x = 89,719,246,562.62/465,447.44
  6. Step 6: Final answer
    x = 192,759.14

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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.