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Finding the Fourth Proportional to 412,848.70, 619,273.05 and 132,394.30

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Solution

The fourth proportional to 412,848.70, 619,273.05 and 132,394.30 is: 198,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,848.70 : 619,273.05 = 132,394.30 : x
  2. Step 2: Convert to fraction form
    412,848.70/619,273.05 = 132,394.30/x
  3. Step 3: Cross multiply
    412,848.70x = 619,273.05 × 132,394.30
  4. Step 4: Simplify right side
    412,848.70x = 81,988,221,963.62
  5. Step 5: Solve for x
    x = 81,988,221,963.62/412,848.70
  6. Step 6: Final answer
    x = 198,591.45

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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.