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Finding the Fourth Proportional to 494,797.12, 741,605.10 and 270,214

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Solution

The fourth proportional to 494,797.12, 741,605.10 and 270,214 is: 404,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,797.12 : 741,605.10 = 270,214 : x
  2. Step 2: Convert to fraction form
    494,797.12/741,605.10 = 270,214/x
  3. Step 3: Cross multiply
    494,797.12x = 741,605.10 × 270,214
  4. Step 4: Simplify right side
    494,797.12x = 200,392,080,491.40
  5. Step 5: Solve for x
    x = 200,392,080,491.40/494,797.12
  6. Step 6: Final answer
    x = 404,998.48

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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.