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Finding the Fourth Proportional to 322,170.24, 444,568.92 and 186,213

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Solution

The fourth proportional to 322,170.24, 444,568.92 and 186,213 is: 256,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,170.24 : 444,568.92 = 186,213 : x
  2. Step 2: Convert to fraction form
    322,170.24/444,568.92 = 186,213/x
  3. Step 3: Cross multiply
    322,170.24x = 444,568.92 × 186,213
  4. Step 4: Simplify right side
    322,170.24x = 82,784,512,299.96
  5. Step 5: Solve for x
    x = 82,784,512,299.96/322,170.24
  6. Step 6: Final answer
    x = 256,958.91

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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.