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Finding the Fourth Proportional to 412,694.92, 619,180.86 and 159,983.65

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Solution

The fourth proportional to 412,694.92, 619,180.86 and 159,983.65 is: 240,029.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,694.92 : 619,180.86 = 159,983.65 : x
  2. Step 2: Convert to fraction form
    412,694.92/619,180.86 = 159,983.65/x
  3. Step 3: Cross multiply
    412,694.92x = 619,180.86 × 159,983.65
  4. Step 4: Simplify right side
    412,694.92x = 99,058,813,992.94
  5. Step 5: Solve for x
    x = 99,058,813,992.94/412,694.92
  6. Step 6: Final answer
    x = 240,029.16

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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.