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Finding the Fourth Proportional to 311,833.70, 467,746.45 and 75,174.48

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Solution

The fourth proportional to 311,833.70, 467,746.45 and 75,174.48 is: 112,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,833.70 : 467,746.45 = 75,174.48 : x
  2. Step 2: Convert to fraction form
    311,833.70/467,746.45 = 75,174.48/x
  3. Step 3: Cross multiply
    311,833.70x = 467,746.45 × 75,174.48
  4. Step 4: Simplify right side
    311,833.70x = 35,162,595,962.66
  5. Step 5: Solve for x
    x = 35,162,595,962.66/311,833.70
  6. Step 6: Final answer
    x = 112,760.73

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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.