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Finding the Fourth Proportional to 396,249.46, 546,824.26 and 226,487.23

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Solution

The fourth proportional to 396,249.46, 546,824.26 and 226,487.23 is: 312,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,249.46 : 546,824.26 = 226,487.23 : x
  2. Step 2: Convert to fraction form
    396,249.46/546,824.26 = 226,487.23/x
  3. Step 3: Cross multiply
    396,249.46x = 546,824.26 × 226,487.23
  4. Step 4: Simplify right side
    396,249.46x = 123,848,711,944.20
  5. Step 5: Solve for x
    x = 123,848,711,944.20/396,249.46
  6. Step 6: Final answer
    x = 312,552.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.