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Finding the Fourth Proportional to 494,523.96, 682,447.36 and 268,169.48

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Solution

The fourth proportional to 494,523.96, 682,447.36 and 268,169.48 is: 370,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,523.96 : 682,447.36 = 268,169.48 : x
  2. Step 2: Convert to fraction form
    494,523.96/682,447.36 = 268,169.48/x
  3. Step 3: Cross multiply
    494,523.96x = 682,447.36 × 268,169.48
  4. Step 4: Simplify right side
    494,523.96x = 183,011,553,658.57
  5. Step 5: Solve for x
    x = 183,011,553,658.57/494,523.96
  6. Step 6: Final answer
    x = 370,076.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.