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Finding the Fourth Proportional to 332,469.20, 498,001.80 and 220,203.20

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Solution

The fourth proportional to 332,469.20, 498,001.80 and 220,203.20 is: 329,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,469.20 : 498,001.80 = 220,203.20 : x
  2. Step 2: Convert to fraction form
    332,469.20/498,001.80 = 220,203.20/x
  3. Step 3: Cross multiply
    332,469.20x = 498,001.80 × 220,203.20
  4. Step 4: Simplify right side
    332,469.20x = 109,661,589,965.76
  5. Step 5: Solve for x
    x = 109,661,589,965.76/332,469.20
  6. Step 6: Final answer
    x = 329,839.85

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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.