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Finding the Fourth Proportional to 311,728.67, 466,748.40 and 161,654.25

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Solution

The fourth proportional to 311,728.67, 466,748.40 and 161,654.25 is: 242,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728.67 : 466,748.40 = 161,654.25 : x
  2. Step 2: Convert to fraction form
    311,728.67/466,748.40 = 161,654.25/x
  3. Step 3: Cross multiply
    311,728.67x = 466,748.40 × 161,654.25
  4. Step 4: Simplify right side
    311,728.67x = 75,451,862,540.70
  5. Step 5: Solve for x
    x = 75,451,862,540.70/311,728.67
  6. Step 6: Final answer
    x = 242,043.39

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1.5x scale

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.