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Finding the Fourth Proportional to 396,546.10, 547,234.32 and 215,258.16

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Solution

The fourth proportional to 396,546.10, 547,234.32 and 215,258.16 is: 297,056.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,546.10 : 547,234.32 = 215,258.16 : x
  2. Step 2: Convert to fraction form
    396,546.10/547,234.32 = 215,258.16/x
  3. Step 3: Cross multiply
    396,546.10x = 547,234.32 × 215,258.16
  4. Step 4: Simplify right side
    396,546.10x = 117,796,652,812.05
  5. Step 5: Solve for x
    x = 117,796,652,812.05/396,546.10
  6. Step 6: Final answer
    x = 297,056.64

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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.