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Finding the Fourth Proportional to 396,857.42, 547,634.95 and 224,725.94

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Solution

The fourth proportional to 396,857.42, 547,634.95 and 224,725.94 is: 310,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,857.42 : 547,634.95 = 224,725.94 : x
  2. Step 2: Convert to fraction form
    396,857.42/547,634.95 = 224,725.94/x
  3. Step 3: Cross multiply
    396,857.42x = 547,634.95 × 224,725.94
  4. Step 4: Simplify right side
    396,857.42x = 123,067,775,615.61
  5. Step 5: Solve for x
    x = 123,067,775,615.61/396,857.42
  6. Step 6: Final answer
    x = 310,105.77

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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.