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Finding the Fourth Proportional to 422,206.38, 582,645.69 and 228,616.20

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Solution

The fourth proportional to 422,206.38, 582,645.69 and 228,616.20 is: 315,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,206.38 : 582,645.69 = 228,616.20 : x
  2. Step 2: Convert to fraction form
    422,206.38/582,645.69 = 228,616.20/x
  3. Step 3: Cross multiply
    422,206.38x = 582,645.69 × 228,616.20
  4. Step 4: Simplify right side
    422,206.38x = 133,202,243,594.18
  5. Step 5: Solve for x
    x = 133,202,243,594.18/422,206.38
  6. Step 6: Final answer
    x = 315,490.84

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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.