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Finding the Fourth Proportional to 292,613.50, 438,920.25 and 82,251.44

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Solution

The fourth proportional to 292,613.50, 438,920.25 and 82,251.44 is: 123,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,613.50 : 438,920.25 = 82,251.44 : x
  2. Step 2: Convert to fraction form
    292,613.50/438,920.25 = 82,251.44/x
  3. Step 3: Cross multiply
    292,613.50x = 438,920.25 × 82,251.44
  4. Step 4: Simplify right side
    292,613.50x = 36,101,823,447.69
  5. Step 5: Solve for x
    x = 36,101,823,447.69/292,613.50
  6. Step 6: Final answer
    x = 123,377.16

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1.5x scale

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.