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Finding the Fourth Proportional to 422,081.25, 633,463.24 and 327,086.18

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Solution

The fourth proportional to 422,081.25, 633,463.24 and 327,086.18 is: 490,893.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,081.25 : 633,463.24 = 327,086.18 : x
  2. Step 2: Convert to fraction form
    422,081.25/633,463.24 = 327,086.18/x
  3. Step 3: Cross multiply
    422,081.25x = 633,463.24 × 327,086.18
  4. Step 4: Simplify right side
    422,081.25x = 207,197,068,174.71
  5. Step 5: Solve for x
    x = 207,197,068,174.71/422,081.25
  6. Step 6: Final answer
    x = 490,893.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.