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Finding the Fourth Proportional to 463,242.78, 694,392.12 and 196,833.42

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Solution

The fourth proportional to 463,242.78, 694,392.12 and 196,833.42 is: 295,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,242.78 : 694,392.12 = 196,833.42 : x
  2. Step 2: Convert to fraction form
    463,242.78/694,392.12 = 196,833.42/x
  3. Step 3: Cross multiply
    463,242.78x = 694,392.12 × 196,833.42
  4. Step 4: Simplify right side
    463,242.78x = 136,679,575,800.65
  5. Step 5: Solve for x
    x = 136,679,575,800.65/463,242.78
  6. Step 6: Final answer
    x = 295,049.55

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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.