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Finding the Fourth Proportional to 311,763.38, 430,233.26 and 168,523.42

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Solution

The fourth proportional to 311,763.38, 430,233.26 and 168,523.42 is: 232,562.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,763.38 : 430,233.26 = 168,523.42 : x
  2. Step 2: Convert to fraction form
    311,763.38/430,233.26 = 168,523.42/x
  3. Step 3: Cross multiply
    311,763.38x = 430,233.26 × 168,523.42
  4. Step 4: Simplify right side
    311,763.38x = 72,504,380,372.95
  5. Step 5: Solve for x
    x = 72,504,380,372.95/311,763.38
  6. Step 6: Final answer
    x = 232,562.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.