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Finding the Fourth Proportional to 322,414.13, 444,462.56 and 225,316.54

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Solution

The fourth proportional to 322,414.13, 444,462.56 and 225,316.54 is: 310,609.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,414.13 : 444,462.56 = 225,316.54 : x
  2. Step 2: Convert to fraction form
    322,414.13/444,462.56 = 225,316.54/x
  3. Step 3: Cross multiply
    322,414.13x = 444,462.56 × 225,316.54
  4. Step 4: Simplify right side
    322,414.13x = 100,144,766,452.68
  5. Step 5: Solve for x
    x = 100,144,766,452.68/322,414.13
  6. Step 6: Final answer
    x = 310,609.11

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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.