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Finding the Fourth Proportional to 311,288.80, 466,933.20 and 271,922.80

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Solution

The fourth proportional to 311,288.80, 466,933.20 and 271,922.80 is: 407,884.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,288.80 : 466,933.20 = 271,922.80 : x
  2. Step 2: Convert to fraction form
    311,288.80/466,933.20 = 271,922.80/x
  3. Step 3: Cross multiply
    311,288.80x = 466,933.20 × 271,922.80
  4. Step 4: Simplify right side
    311,288.80x = 126,969,783,156.96
  5. Step 5: Solve for x
    x = 126,969,783,156.96/311,288.80
  6. Step 6: Final answer
    x = 407,884.20

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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.