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Finding the Fourth Proportional to 392,255.92, 588,582.60 and 179,000.20

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Solution

The fourth proportional to 392,255.92, 588,582.60 and 179,000.20 is: 268,590.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,255.92 : 588,582.60 = 179,000.20 : x
  2. Step 2: Convert to fraction form
    392,255.92/588,582.60 = 179,000.20/x
  3. Step 3: Cross multiply
    392,255.92x = 588,582.60 × 179,000.20
  4. Step 4: Simplify right side
    392,255.92x = 105,356,403,116.52
  5. Step 5: Solve for x
    x = 105,356,403,116.52/392,255.92
  6. Step 6: Final answer
    x = 268,590.98

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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.