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Finding the Fourth Proportional to 494,797.62, 741,605.85 and 270,214.50

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Solution

The fourth proportional to 494,797.62, 741,605.85 and 270,214.50 is: 404,999.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,797.62 : 741,605.85 = 270,214.50 : x
  2. Step 2: Convert to fraction form
    494,797.62/741,605.85 = 270,214.50/x
  3. Step 3: Cross multiply
    494,797.62x = 741,605.85 × 270,214.50
  4. Step 4: Simplify right side
    494,797.62x = 200,392,653,954.83
  5. Step 5: Solve for x
    x = 200,392,653,954.83/494,797.62
  6. Step 6: Final answer
    x = 404,999.23

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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.