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Finding the Fourth Proportional to 295,785.85, 443,591.19 and 82,502.33

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Solution

The fourth proportional to 295,785.85, 443,591.19 and 82,502.33 is: 123,729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,785.85 : 443,591.19 = 82,502.33 : x
  2. Step 2: Convert to fraction form
    295,785.85/443,591.19 = 82,502.33/x
  3. Step 3: Cross multiply
    295,785.85x = 443,591.19 × 82,502.33
  4. Step 4: Simplify right side
    295,785.85x = 36,597,306,742.47
  5. Step 5: Solve for x
    x = 36,597,306,742.47/295,785.85
  6. Step 6: Final answer
    x = 123,729.07

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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.