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Finding the Fourth Proportional to 396,205.42, 546,630.51 and 226,319.26

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Solution

The fourth proportional to 396,205.42, 546,630.51 and 226,319.26 is: 312,244.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,205.42 : 546,630.51 = 226,319.26 : x
  2. Step 2: Convert to fraction form
    396,205.42/546,630.51 = 226,319.26/x
  3. Step 3: Cross multiply
    396,205.42x = 546,630.51 × 226,319.26
  4. Step 4: Simplify right side
    396,205.42x = 123,713,012,516.62
  5. Step 5: Solve for x
    x = 123,713,012,516.62/396,205.42
  6. Step 6: Final answer
    x = 312,244.62

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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.