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Finding the Fourth Proportional to 422,463.54, 582,999.02 and 228,876.18

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Solution

The fourth proportional to 422,463.54, 582,999.02 and 228,876.18 is: 315,848.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,463.54 : 582,999.02 = 228,876.18 : x
  2. Step 2: Convert to fraction form
    422,463.54/582,999.02 = 228,876.18/x
  3. Step 3: Cross multiply
    422,463.54x = 582,999.02 × 228,876.18
  4. Step 4: Simplify right side
    422,463.54x = 133,434,587,496.96
  5. Step 5: Solve for x
    x = 133,434,587,496.96/422,463.54
  6. Step 6: Final answer
    x = 315,848.77

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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.