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Finding the Fourth Proportional to 396,419.28, 546,924.60 and 226,532.40

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Solution

The fourth proportional to 396,419.28, 546,924.60 and 226,532.40 is: 312,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,419.28 : 546,924.60 = 226,532.40 : x
  2. Step 2: Convert to fraction form
    396,419.28/546,924.60 = 226,532.40/x
  3. Step 3: Cross multiply
    396,419.28x = 546,924.60 × 226,532.40
  4. Step 4: Simplify right side
    396,419.28x = 123,896,142,257.04
  5. Step 5: Solve for x
    x = 123,896,142,257.04/396,419.28
  6. Step 6: Final answer
    x = 312,538.13

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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.