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Finding the Fourth Proportional to 392,233.20, 587,793.58 and 164,283.24

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Solution

The fourth proportional to 392,233.20, 587,793.58 and 164,283.24 is: 246,191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,233.20 : 587,793.58 = 164,283.24 : x
  2. Step 2: Convert to fraction form
    392,233.20/587,793.58 = 164,283.24/x
  3. Step 3: Cross multiply
    392,233.20x = 587,793.58 × 164,283.24
  4. Step 4: Simplify right side
    392,233.20x = 96,564,633,773.60
  5. Step 5: Solve for x
    x = 96,564,633,773.60/392,233.20
  6. Step 6: Final answer
    x = 246,191.89

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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.