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Finding the Fourth Proportional to 332,503.20, 498,207.60 and 192,016.80

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Solution

The fourth proportional to 332,503.20, 498,207.60 and 192,016.80 is: 287,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,503.20 : 498,207.60 = 192,016.80 : x
  2. Step 2: Convert to fraction form
    332,503.20/498,207.60 = 192,016.80/x
  3. Step 3: Cross multiply
    332,503.20x = 498,207.60 × 192,016.80
  4. Step 4: Simplify right side
    332,503.20x = 95,664,229,087.68
  5. Step 5: Solve for x
    x = 95,664,229,087.68/332,503.20
  6. Step 6: Final answer
    x = 287,709.20

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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.