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Finding the Fourth Proportional to 396,941.37, 547,658.43 and 224,832

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Solution

The fourth proportional to 396,941.37, 547,658.43 and 224,832 is: 310,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,941.37 : 547,658.43 = 224,832 : x
  2. Step 2: Convert to fraction form
    396,941.37/547,658.43 = 224,832/x
  3. Step 3: Cross multiply
    396,941.37x = 547,658.43 × 224,832
  4. Step 4: Simplify right side
    396,941.37x = 123,131,140,133.76
  5. Step 5: Solve for x
    x = 123,131,140,133.76/396,941.37
  6. Step 6: Final answer
    x = 310,199.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.