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Finding the Fourth Proportional to 311,344.40, 466,803.20 and 111,660.48

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Solution

The fourth proportional to 311,344.40, 466,803.20 and 111,660.48 is: 167,414.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,344.40 : 466,803.20 = 111,660.48 : x
  2. Step 2: Convert to fraction form
    311,344.40/466,803.20 = 111,660.48/x
  3. Step 3: Cross multiply
    311,344.40x = 466,803.20 × 111,660.48
  4. Step 4: Simplify right side
    311,344.40x = 52,123,469,377.54
  5. Step 5: Solve for x
    x = 52,123,469,377.54/311,344.40
  6. Step 6: Final answer
    x = 167,414.19

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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.