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Finding the Fourth Proportional to 311,724.24, 467,793.48 and 114,732.24

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Solution

The fourth proportional to 311,724.24, 467,793.48 and 114,732.24 is: 172,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,724.24 : 467,793.48 = 114,732.24 : x
  2. Step 2: Convert to fraction form
    311,724.24/467,793.48 = 114,732.24/x
  3. Step 3: Cross multiply
    311,724.24x = 467,793.48 × 114,732.24
  4. Step 4: Simplify right side
    311,724.24x = 53,670,993,817.80
  5. Step 5: Solve for x
    x = 53,670,993,817.80/311,724.24
  6. Step 6: Final answer
    x = 172,174.59

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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.