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Finding the Fourth Proportional to 396,413.28, 546,916.32 and 226,527.12

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Solution

The fourth proportional to 396,413.28, 546,916.32 and 226,527.12 is: 312,530.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,413.28 : 546,916.32 = 226,527.12 : x
  2. Step 2: Convert to fraction form
    396,413.28/546,916.32 = 226,527.12/x
  3. Step 3: Cross multiply
    396,413.28x = 546,916.32 × 226,527.12
  4. Step 4: Simplify right side
    396,413.28x = 123,891,378,850.60
  5. Step 5: Solve for x
    x = 123,891,378,850.60/396,413.28
  6. Step 6: Final answer
    x = 312,530.85

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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.