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Finding the Fourth Proportional to 412,818.39, 619,315.11 and 132,532.47

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Solution

The fourth proportional to 412,818.39, 619,315.11 and 132,532.47 is: 198,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818.39 : 619,315.11 = 132,532.47 : x
  2. Step 2: Convert to fraction form
    412,818.39/619,315.11 = 132,532.47/x
  3. Step 3: Cross multiply
    412,818.39x = 619,315.11 × 132,532.47
  4. Step 4: Simplify right side
    412,818.39x = 82,079,361,236.62
  5. Step 5: Solve for x
    x = 82,079,361,236.62/412,818.39
  6. Step 6: Final answer
    x = 198,826.80

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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.