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Finding the Fourth Proportional to 494,193.66, 741,383.28 and 224,340.74

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Solution

The fourth proportional to 494,193.66, 741,383.28 and 224,340.74 is: 336,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,193.66 : 741,383.28 = 224,340.74 : x
  2. Step 2: Convert to fraction form
    494,193.66/741,383.28 = 224,340.74/x
  3. Step 3: Cross multiply
    494,193.66x = 741,383.28 × 224,340.74
  4. Step 4: Simplify right side
    494,193.66x = 166,322,473,658.83
  5. Step 5: Solve for x
    x = 166,322,473,658.83/494,193.66
  6. Step 6: Final answer
    x = 336,553.23

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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.