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Finding the Fourth Proportional to 412,761.96, 619,144.02 and 113,246.64

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Solution

The fourth proportional to 412,761.96, 619,144.02 and 113,246.64 is: 169,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,761.96 : 619,144.02 = 113,246.64 : x
  2. Step 2: Convert to fraction form
    412,761.96/619,144.02 = 113,246.64/x
  3. Step 3: Cross multiply
    412,761.96x = 619,144.02 × 113,246.64
  4. Step 4: Simplify right side
    412,761.96x = 70,115,979,941.09
  5. Step 5: Solve for x
    x = 70,115,979,941.09/412,761.96
  6. Step 6: Final answer
    x = 169,870.26

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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.