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Finding the Fourth Proportional to 494,170.22, 741,439.83 and 194,859.42

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Solution

The fourth proportional to 494,170.22, 741,439.83 and 194,859.42 is: 292,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,170.22 : 741,439.83 = 194,859.42 : x
  2. Step 2: Convert to fraction form
    494,170.22/741,439.83 = 194,859.42/x
  3. Step 3: Cross multiply
    494,170.22x = 741,439.83 × 194,859.42
  4. Step 4: Simplify right side
    494,170.22x = 144,476,536,263.54
  5. Step 5: Solve for x
    x = 144,476,536,263.54/494,170.22
  6. Step 6: Final answer
    x = 292,361.89

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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.