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Finding the Fourth Proportional to 311,842.20, 466,966.26 and 171,446.52

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Solution

The fourth proportional to 311,842.20, 466,966.26 and 171,446.52 is: 256,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,842.20 : 466,966.26 = 171,446.52 : x
  2. Step 2: Convert to fraction form
    311,842.20/466,966.26 = 171,446.52/x
  3. Step 3: Cross multiply
    311,842.20x = 466,966.26 × 171,446.52
  4. Step 4: Simplify right side
    311,842.20x = 80,059,740,234.42
  5. Step 5: Solve for x
    x = 80,059,740,234.42/311,842.20
  6. Step 6: Final answer
    x = 256,731.58

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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.