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Finding the Fourth Proportional to 494,324.47, 741,219.86 and 224,305.30

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Solution

The fourth proportional to 494,324.47, 741,219.86 and 224,305.30 is: 336,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,324.47 : 741,219.86 = 224,305.30 : x
  2. Step 2: Convert to fraction form
    494,324.47/741,219.86 = 224,305.30/x
  3. Step 3: Cross multiply
    494,324.47x = 741,219.86 × 224,305.30
  4. Step 4: Simplify right side
    494,324.47x = 166,259,544,550.55
  5. Step 5: Solve for x
    x = 166,259,544,550.55/494,324.47
  6. Step 6: Final answer
    x = 336,336.87

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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.