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Finding the Fourth Proportional to 494,485.80, 741,772.41 and 269,749.68

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Solution

The fourth proportional to 494,485.80, 741,772.41 and 269,749.68 is: 404,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,485.80 : 741,772.41 = 269,749.68 : x
  2. Step 2: Convert to fraction form
    494,485.80/741,772.41 = 269,749.68/x
  3. Step 3: Cross multiply
    494,485.80x = 741,772.41 × 269,749.68
  4. Step 4: Simplify right side
    494,485.80x = 200,092,870,230.33
  5. Step 5: Solve for x
    x = 200,092,870,230.33/494,485.80
  6. Step 6: Final answer
    x = 404,648.36

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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.