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Finding the Fourth Proportional to 412,772.28, 619,116.92 and 113,282.96

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Solution

The fourth proportional to 412,772.28, 619,116.92 and 113,282.96 is: 169,913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,772.28 : 619,116.92 = 113,282.96 : x
  2. Step 2: Convert to fraction form
    412,772.28/619,116.92 = 113,282.96/x
  3. Step 3: Cross multiply
    412,772.28x = 619,116.92 × 113,282.96
  4. Step 4: Simplify right side
    412,772.28x = 70,135,397,283.68
  5. Step 5: Solve for x
    x = 70,135,397,283.68/412,772.28
  6. Step 6: Final answer
    x = 169,913.05

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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.