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Finding the Fourth Proportional to 392,442.80, 588,664.20 and 96,954.80

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Solution

The fourth proportional to 392,442.80, 588,664.20 and 96,954.80 is: 145,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,442.80 : 588,664.20 = 96,954.80 : x
  2. Step 2: Convert to fraction form
    392,442.80/588,664.20 = 96,954.80/x
  3. Step 3: Cross multiply
    392,442.80x = 588,664.20 × 96,954.80
  4. Step 4: Simplify right side
    392,442.80x = 57,073,819,778.16
  5. Step 5: Solve for x
    x = 57,073,819,778.16/392,442.80
  6. Step 6: Final answer
    x = 145,432.20

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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.