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Finding the Fourth Proportional to 311,593.16, 467,447.82 and 101,174.60

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Solution

The fourth proportional to 311,593.16, 467,447.82 and 101,174.60 is: 151,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,593.16 : 467,447.82 = 101,174.60 : x
  2. Step 2: Convert to fraction form
    311,593.16/467,447.82 = 101,174.60/x
  3. Step 3: Cross multiply
    311,593.16x = 467,447.82 × 101,174.60
  4. Step 4: Simplify right side
    311,593.16x = 47,293,846,209.37
  5. Step 5: Solve for x
    x = 47,293,846,209.37/311,593.16
  6. Step 6: Final answer
    x = 151,780.76

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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.