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Finding the Fourth Proportional to 311,227.52, 466,884.48 and 100,797.44

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Solution

The fourth proportional to 311,227.52, 466,884.48 and 100,797.44 is: 151,210.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,227.52 : 466,884.48 = 100,797.44 : x
  2. Step 2: Convert to fraction form
    311,227.52/466,884.48 = 100,797.44/x
  3. Step 3: Cross multiply
    311,227.52x = 466,884.48 × 100,797.44
  4. Step 4: Simplify right side
    311,227.52x = 47,060,760,359.73
  5. Step 5: Solve for x
    x = 47,060,760,359.73/311,227.52
  6. Step 6: Final answer
    x = 151,210.15

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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.