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Finding the Fourth Proportional to 327,782, 452,331.72 and 182,586.80

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Solution

The fourth proportional to 327,782, 452,331.72 and 182,586.80 is: 251,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,782 : 452,331.72 = 182,586.80 : x
  2. Step 2: Convert to fraction form
    327,782/452,331.72 = 182,586.80/x
  3. Step 3: Cross multiply
    327,782x = 452,331.72 × 182,586.80
  4. Step 4: Simplify right side
    327,782x = 82,589,801,293.30
  5. Step 5: Solve for x
    x = 82,589,801,293.30/327,782
  6. Step 6: Final answer
    x = 251,965.64

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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.