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Finding the Fourth Proportional to 550,623.53, 825,902.10 and 327,404.48

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Solution

The fourth proportional to 550,623.53, 825,902.10 and 327,404.48 is: 491,086.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,623.53 : 825,902.10 = 327,404.48 : x
  2. Step 2: Convert to fraction form
    550,623.53/825,902.10 = 327,404.48/x
  3. Step 3: Cross multiply
    550,623.53x = 825,902.10 × 327,404.48
  4. Step 4: Simplify right side
    550,623.53x = 270,404,043,451.90
  5. Step 5: Solve for x
    x = 270,404,043,451.90/550,623.53
  6. Step 6: Final answer
    x = 491,086.97

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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.