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Finding the Fourth Proportional to 463,103.46, 694,255.86 and 178,993.35

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Solution

The fourth proportional to 463,103.46, 694,255.86 and 178,993.35 is: 268,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,103.46 : 694,255.86 = 178,993.35 : x
  2. Step 2: Convert to fraction form
    463,103.46/694,255.86 = 178,993.35/x
  3. Step 3: Cross multiply
    463,103.46x = 694,255.86 × 178,993.35
  4. Step 4: Simplify right side
    463,103.46x = 124,267,182,138.53
  5. Step 5: Solve for x
    x = 124,267,182,138.53/463,103.46
  6. Step 6: Final answer
    x = 268,335.68

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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.