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Finding the Fourth Proportional to 332,469.78, 498,704.70 and 83,151.78

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Solution

The fourth proportional to 332,469.78, 498,704.70 and 83,151.78 is: 124,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,469.78 : 498,704.70 = 83,151.78 : x
  2. Step 2: Convert to fraction form
    332,469.78/498,704.70 = 83,151.78/x
  3. Step 3: Cross multiply
    332,469.78x = 498,704.70 × 83,151.78
  4. Step 4: Simplify right side
    332,469.78x = 41,468,183,499.37
  5. Step 5: Solve for x
    x = 41,468,183,499.37/332,469.78
  6. Step 6: Final answer
    x = 124,727.68

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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.