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Finding the Fourth Proportional to 422,208.38, 582,648.45 and 228,618.20

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Solution

The fourth proportional to 422,208.38, 582,648.45 and 228,618.20 is: 315,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,208.38 : 582,648.45 = 228,618.20 : x
  2. Step 2: Convert to fraction form
    422,208.38/582,648.45 = 228,618.20/x
  3. Step 3: Cross multiply
    422,208.38x = 582,648.45 × 228,618.20
  4. Step 4: Simplify right side
    422,208.38x = 133,204,039,871.79
  5. Step 5: Solve for x
    x = 133,204,039,871.79/422,208.38
  6. Step 6: Final answer
    x = 315,493.60

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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.