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Finding the Fourth Proportional to 311,593.50, 467,342.87 and 86,930.28

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Solution

The fourth proportional to 311,593.50, 467,342.87 and 86,930.28 is: 130,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,593.50 : 467,342.87 = 86,930.28 : x
  2. Step 2: Convert to fraction form
    311,593.50/467,342.87 = 86,930.28/x
  3. Step 3: Cross multiply
    311,593.50x = 467,342.87 × 86,930.28
  4. Step 4: Simplify right side
    311,593.50x = 40,626,246,110.45
  5. Step 5: Solve for x
    x = 40,626,246,110.45/311,593.50
  6. Step 6: Final answer
    x = 130,382.20

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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.