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Finding the Fourth Proportional to 412,044.59, 618,162.74 and 127,720.06

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Solution

The fourth proportional to 412,044.59, 618,162.74 and 127,720.06 is: 191,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,044.59 : 618,162.74 = 127,720.06 : x
  2. Step 2: Convert to fraction form
    412,044.59/618,162.74 = 127,720.06/x
  3. Step 3: Cross multiply
    412,044.59x = 618,162.74 × 127,720.06
  4. Step 4: Simplify right side
    412,044.59x = 78,951,782,242.56
  5. Step 5: Solve for x
    x = 78,951,782,242.56/412,044.59
  6. Step 6: Final answer
    x = 191,609.80

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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.