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Finding the Fourth Proportional to 398,231.10, 597,252.33 and 113,912.90

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Solution

The fourth proportional to 398,231.10, 597,252.33 and 113,912.90 is: 170,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,231.10 : 597,252.33 = 113,912.90 : x
  2. Step 2: Convert to fraction form
    398,231.10/597,252.33 = 113,912.90/x
  3. Step 3: Cross multiply
    398,231.10x = 597,252.33 × 113,912.90
  4. Step 4: Simplify right side
    398,231.10x = 68,034,744,942.06
  5. Step 5: Solve for x
    x = 68,034,744,942.06/398,231.10
  6. Step 6: Final answer
    x = 170,842.37

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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.