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Finding the Fourth Proportional to 332,005.20, 498,007.80 and 82,687.20

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Solution

The fourth proportional to 332,005.20, 498,007.80 and 82,687.20 is: 124,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,005.20 : 498,007.80 = 82,687.20 : x
  2. Step 2: Convert to fraction form
    332,005.20/498,007.80 = 82,687.20/x
  3. Step 3: Cross multiply
    332,005.20x = 498,007.80 × 82,687.20
  4. Step 4: Simplify right side
    332,005.20x = 41,178,870,560.16
  5. Step 5: Solve for x
    x = 41,178,870,560.16/332,005.20
  6. Step 6: Final answer
    x = 124,030.80

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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.