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Finding the Fourth Proportional to 494,777.28, 741,575.44 and 270,194.24

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Solution

The fourth proportional to 494,777.28, 741,575.44 and 270,194.24 is: 404,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,777.28 : 741,575.44 = 270,194.24 : x
  2. Step 2: Convert to fraction form
    494,777.28/741,575.44 = 270,194.24/x
  3. Step 3: Cross multiply
    494,777.28x = 741,575.44 × 270,194.24
  4. Step 4: Simplify right side
    494,777.28x = 200,369,412,413.47
  5. Step 5: Solve for x
    x = 200,369,412,413.47/494,777.28
  6. Step 6: Final answer
    x = 404,968.90

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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.