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Finding the Fourth Proportional to 396,892.26, 547,719.84 and 224,811

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Solution

The fourth proportional to 396,892.26, 547,719.84 and 224,811 is: 310,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,892.26 : 547,719.84 = 224,811 : x
  2. Step 2: Convert to fraction form
    396,892.26/547,719.84 = 224,811/x
  3. Step 3: Cross multiply
    396,892.26x = 547,719.84 × 224,811
  4. Step 4: Simplify right side
    396,892.26x = 123,133,444,950.24
  5. Step 5: Solve for x
    x = 123,133,444,950.24/396,892.26
  6. Step 6: Final answer
    x = 310,244.01

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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.