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Finding the Fourth Proportional to 396,276.38, 546,861.34 and 226,514.15

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Solution

The fourth proportional to 396,276.38, 546,861.34 and 226,514.15 is: 312,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,276.38 : 546,861.34 = 226,514.15 : x
  2. Step 2: Convert to fraction form
    396,276.38/546,861.34 = 226,514.15/x
  3. Step 3: Cross multiply
    396,276.38x = 546,861.34 × 226,514.15
  4. Step 4: Simplify right side
    396,276.38x = 123,871,831,597.96
  5. Step 5: Solve for x
    x = 123,871,831,597.96/396,276.38
  6. Step 6: Final answer
    x = 312,589.49

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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.