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Finding the Fourth Proportional to 412,794.56, 619,189.14 and 113,251.70

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Solution

The fourth proportional to 412,794.56, 619,189.14 and 113,251.70 is: 169,876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,794.56 : 619,189.14 = 113,251.70 : x
  2. Step 2: Convert to fraction form
    412,794.56/619,189.14 = 113,251.70/x
  3. Step 3: Cross multiply
    412,794.56x = 619,189.14 × 113,251.70
  4. Step 4: Simplify right side
    412,794.56x = 70,124,222,726.54
  5. Step 5: Solve for x
    x = 70,124,222,726.54/412,794.56
  6. Step 6: Final answer
    x = 169,876.81

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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.