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Finding the Fourth Proportional to 412,825.80, 619,238.70 and 132,371.40

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Solution

The fourth proportional to 412,825.80, 619,238.70 and 132,371.40 is: 198,557.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,825.80 : 619,238.70 = 132,371.40 : x
  2. Step 2: Convert to fraction form
    412,825.80/619,238.70 = 132,371.40/x
  3. Step 3: Cross multiply
    412,825.80x = 619,238.70 × 132,371.40
  4. Step 4: Simplify right side
    412,825.80x = 81,969,493,653.18
  5. Step 5: Solve for x
    x = 81,969,493,653.18/412,825.80
  6. Step 6: Final answer
    x = 198,557.10

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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.