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Finding the Fourth Proportional to 465,439.47, 698,145.25 and 128,500.68

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Solution

The fourth proportional to 465,439.47, 698,145.25 and 128,500.68 is: 192,747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,439.47 : 698,145.25 = 128,500.68 : x
  2. Step 2: Convert to fraction form
    465,439.47/698,145.25 = 128,500.68/x
  3. Step 3: Cross multiply
    465,439.47x = 698,145.25 × 128,500.68
  4. Step 4: Simplify right side
    465,439.47x = 89,712,139,363.77
  5. Step 5: Solve for x
    x = 89,712,139,363.77/465,439.47
  6. Step 6: Final answer
    x = 192,747.17

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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.