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Finding the Fourth Proportional to 396,039.38, 546,563.32 and 226,269.86

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Solution

The fourth proportional to 396,039.38, 546,563.32 and 226,269.86 is: 312,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,039.38 : 546,563.32 = 226,269.86 : x
  2. Step 2: Convert to fraction form
    396,039.38/546,563.32 = 226,269.86/x
  3. Step 3: Cross multiply
    396,039.38x = 546,563.32 × 226,269.86
  4. Step 4: Simplify right side
    396,039.38x = 123,670,805,897.54
  5. Step 5: Solve for x
    x = 123,670,805,897.54/396,039.38
  6. Step 6: Final answer
    x = 312,268.96

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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.