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Finding the Fourth Proportional to 494,536.42, 741,896.88 and 224,683.48

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Solution

The fourth proportional to 494,536.42, 741,896.88 and 224,683.48 is: 337,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,536.42 : 741,896.88 = 224,683.48 : x
  2. Step 2: Convert to fraction form
    494,536.42/741,896.88 = 224,683.48/x
  3. Step 3: Cross multiply
    494,536.42x = 741,896.88 × 224,683.48
  4. Step 4: Simplify right side
    494,536.42x = 166,691,972,799.54
  5. Step 5: Solve for x
    x = 166,691,972,799.54/494,536.42
  6. Step 6: Final answer
    x = 337,067.13

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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.