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Finding the Fourth Proportional to 396,906.48, 547,741.44 and 227,195.28

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Solution

The fourth proportional to 396,906.48, 547,741.44 and 227,195.28 is: 313,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,906.48 : 547,741.44 = 227,195.28 : x
  2. Step 2: Convert to fraction form
    396,906.48/547,741.44 = 227,195.28/x
  3. Step 3: Cross multiply
    396,906.48x = 547,741.44 × 227,195.28
  4. Step 4: Simplify right side
    396,906.48x = 124,444,269,828.40
  5. Step 5: Solve for x
    x = 124,444,269,828.40/396,906.48
  6. Step 6: Final answer
    x = 313,535.50

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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.