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Finding the Fourth Proportional to 396,046.44, 546,573 and 226,276.92

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Solution

The fourth proportional to 396,046.44, 546,573 and 226,276.92 is: 312,278.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,046.44 : 546,573 = 226,276.92 : x
  2. Step 2: Convert to fraction form
    396,046.44/546,573 = 226,276.92/x
  3. Step 3: Cross multiply
    396,046.44x = 546,573 × 226,276.92
  4. Step 4: Simplify right side
    396,046.44x = 123,676,854,995.16
  5. Step 5: Solve for x
    x = 123,676,854,995.16/396,046.44
  6. Step 6: Final answer
    x = 312,278.67

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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.