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Finding the Fourth Proportional to 412,833.80, 619,250.70 and 132,552.20

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Solution

The fourth proportional to 412,833.80, 619,250.70 and 132,552.20 is: 198,828.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,833.80 : 619,250.70 = 132,552.20 : x
  2. Step 2: Convert to fraction form
    412,833.80/619,250.70 = 132,552.20/x
  3. Step 3: Cross multiply
    412,833.80x = 619,250.70 × 132,552.20
  4. Step 4: Simplify right side
    412,833.80x = 82,083,042,636.54
  5. Step 5: Solve for x
    x = 82,083,042,636.54/412,833.80
  6. Step 6: Final answer
    x = 198,828.30

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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.