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Finding the Fourth Proportional to 392,275.20, 588,489.60 and 167,635.20

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Solution

The fourth proportional to 392,275.20, 588,489.60 and 167,635.20 is: 251,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,275.20 : 588,489.60 = 167,635.20 : x
  2. Step 2: Convert to fraction form
    392,275.20/588,489.60 = 167,635.20/x
  3. Step 3: Cross multiply
    392,275.20x = 588,489.60 × 167,635.20
  4. Step 4: Simplify right side
    392,275.20x = 98,651,571,793.92
  5. Step 5: Solve for x
    x = 98,651,571,793.92/392,275.20
  6. Step 6: Final answer
    x = 251,485.62

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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.