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Finding the Fourth Proportional to 422,084.25, 633,467.74 and 327,089.18

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Solution

The fourth proportional to 422,084.25, 633,467.74 and 327,089.18 is: 490,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,084.25 : 633,467.74 = 327,089.18 : x
  2. Step 2: Convert to fraction form
    422,084.25/633,467.74 = 327,089.18/x
  3. Step 3: Cross multiply
    422,084.25x = 633,467.74 × 327,089.18
  4. Step 4: Simplify right side
    422,084.25x = 207,200,443,633.05
  5. Step 5: Solve for x
    x = 207,200,443,633.05/422,084.25
  6. Step 6: Final answer
    x = 490,898.31

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