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Finding the Fourth Proportional to 396,971.97, 547,803.46 and 224,886.42

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Solution

The fourth proportional to 396,971.97, 547,803.46 and 224,886.42 is: 310,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,971.97 : 547,803.46 = 224,886.42 : x
  2. Step 2: Convert to fraction form
    396,971.97/547,803.46 = 224,886.42/x
  3. Step 3: Cross multiply
    396,971.97x = 547,803.46 × 224,886.42
  4. Step 4: Simplify right side
    396,971.97x = 123,193,558,983.01
  5. Step 5: Solve for x
    x = 123,193,558,983.01/396,971.97
  6. Step 6: Final answer
    x = 310,333.14

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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.