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Finding the Fourth Proportional to 412,828.70, 619,243.05 and 132,374.30

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Solution

The fourth proportional to 412,828.70, 619,243.05 and 132,374.30 is: 198,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,828.70 : 619,243.05 = 132,374.30 : x
  2. Step 2: Convert to fraction form
    412,828.70/619,243.05 = 132,374.30/x
  3. Step 3: Cross multiply
    412,828.70x = 619,243.05 × 132,374.30
  4. Step 4: Simplify right side
    412,828.70x = 81,971,865,273.62
  5. Step 5: Solve for x
    x = 81,971,865,273.62/412,828.70
  6. Step 6: Final answer
    x = 198,561.45

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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.