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Finding the Fourth Proportional to 396,114.64, 546,627.96 and 226,348.80

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Solution

The fourth proportional to 396,114.64, 546,627.96 and 226,348.80 is: 312,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,114.64 : 546,627.96 = 226,348.80 : x
  2. Step 2: Convert to fraction form
    396,114.64/546,627.96 = 226,348.80/x
  3. Step 3: Cross multiply
    396,114.64x = 546,627.96 × 226,348.80
  4. Step 4: Simplify right side
    396,114.64x = 123,728,582,792.45
  5. Step 5: Solve for x
    x = 123,728,582,792.45/396,114.64
  6. Step 6: Final answer
    x = 312,355.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.