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Finding the Fourth Proportional to 323,778.30, 446,711.67 and 196,446.30

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Solution

The fourth proportional to 323,778.30, 446,711.67 and 196,446.30 is: 271,033.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,778.30 : 446,711.67 = 196,446.30 : x
  2. Step 2: Convert to fraction form
    323,778.30/446,711.67 = 196,446.30/x
  3. Step 3: Cross multiply
    323,778.30x = 446,711.67 × 196,446.30
  4. Step 4: Simplify right side
    323,778.30x = 87,754,854,738.32
  5. Step 5: Solve for x
    x = 87,754,854,738.32/323,778.30
  6. Step 6: Final answer
    x = 271,033.77

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1.5x scale

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.