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Finding the Fourth Proportional to 422,174.48, 582,601.65 and 228,584.28

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Solution

The fourth proportional to 422,174.48, 582,601.65 and 228,584.28 is: 315,446.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,174.48 : 582,601.65 = 228,584.28 : x
  2. Step 2: Convert to fraction form
    422,174.48/582,601.65 = 228,584.28/x
  3. Step 3: Cross multiply
    422,174.48x = 582,601.65 × 228,584.28
  4. Step 4: Simplify right side
    422,174.48x = 133,173,578,692.06
  5. Step 5: Solve for x
    x = 133,173,578,692.06/422,174.48
  6. Step 6: Final answer
    x = 315,446.78

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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.