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Finding the Fourth Proportional to 412,693.92, 619,179.36 and 159,982.65

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Solution

The fourth proportional to 412,693.92, 619,179.36 and 159,982.65 is: 240,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,693.92 : 619,179.36 = 159,982.65 : x
  2. Step 2: Convert to fraction form
    412,693.92/619,179.36 = 159,982.65/x
  3. Step 3: Cross multiply
    412,693.92x = 619,179.36 × 159,982.65
  4. Step 4: Simplify right side
    412,693.92x = 99,057,954,838.10
  5. Step 5: Solve for x
    x = 99,057,954,838.10/412,693.92
  6. Step 6: Final answer
    x = 240,027.66

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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.