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Finding the Fourth Proportional to 396,122.64, 546,639 and 226,356.78

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Solution

The fourth proportional to 396,122.64, 546,639 and 226,356.78 is: 312,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,122.64 : 546,639 = 226,356.78 : x
  2. Step 2: Convert to fraction form
    396,122.64/546,639 = 226,356.78/x
  3. Step 3: Cross multiply
    396,122.64x = 546,639 × 226,356.78
  4. Step 4: Simplify right side
    396,122.64x = 123,735,443,862.42
  5. Step 5: Solve for x
    x = 123,735,443,862.42/396,122.64
  6. Step 6: Final answer
    x = 312,366.50

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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.