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Finding the Fourth Proportional to 392,299.86, 588,449.80 and 111,809.82

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Solution

The fourth proportional to 392,299.86, 588,449.80 and 111,809.82 is: 167,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,299.86 : 588,449.80 = 111,809.82 : x
  2. Step 2: Convert to fraction form
    392,299.86/588,449.80 = 111,809.82/x
  3. Step 3: Cross multiply
    392,299.86x = 588,449.80 × 111,809.82
  4. Step 4: Simplify right side
    392,299.86x = 65,794,466,217.04
  5. Step 5: Solve for x
    x = 65,794,466,217.04/392,299.86
  6. Step 6: Final answer
    x = 167,714.73

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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.