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Finding the Fourth Proportional to 412,694.74, 619,180.58 and 159,983.47

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Solution

The fourth proportional to 412,694.74, 619,180.58 and 159,983.47 is: 240,028.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,694.74 : 619,180.58 = 159,983.47 : x
  2. Step 2: Convert to fraction form
    412,694.74/619,180.58 = 159,983.47/x
  3. Step 3: Cross multiply
    412,694.74x = 619,180.58 × 159,983.47
  4. Step 4: Simplify right side
    412,694.74x = 99,058,657,745.01
  5. Step 5: Solve for x
    x = 99,058,657,745.01/412,694.74
  6. Step 6: Final answer
    x = 240,028.88

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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.