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Finding the Fourth Proportional to 412,520.29, 618,780.96 and 113,003.50

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Solution

The fourth proportional to 412,520.29, 618,780.96 and 113,003.50 is: 169,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,520.29 : 618,780.96 = 113,003.50 : x
  2. Step 2: Convert to fraction form
    412,520.29/618,780.96 = 113,003.50/x
  3. Step 3: Cross multiply
    412,520.29x = 618,780.96 × 113,003.50
  4. Step 4: Simplify right side
    412,520.29x = 69,924,414,213.36
  5. Step 5: Solve for x
    x = 69,924,414,213.36/412,520.29
  6. Step 6: Final answer
    x = 169,505.39

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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.