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Finding the Fourth Proportional to 412,793.97, 619,191.63 and 113,278.65

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Solution

The fourth proportional to 412,793.97, 619,191.63 and 113,278.65 is: 169,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,793.97 : 619,191.63 = 113,278.65 : x
  2. Step 2: Convert to fraction form
    412,793.97/619,191.63 = 113,278.65/x
  3. Step 3: Cross multiply
    412,793.97x = 619,191.63 × 113,278.65
  4. Step 4: Simplify right side
    412,793.97x = 70,141,191,937.70
  5. Step 5: Solve for x
    x = 70,141,191,937.70/412,793.97
  6. Step 6: Final answer
    x = 169,918.16

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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.