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Finding the Fourth Proportional to 391,290, 539,982.24 and 230,151.84

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Solution

The fourth proportional to 391,290, 539,982.24 and 230,151.84 is: 317,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,290 : 539,982.24 = 230,151.84 : x
  2. Step 2: Convert to fraction form
    391,290/539,982.24 = 230,151.84/x
  3. Step 3: Cross multiply
    391,290x = 539,982.24 × 230,151.84
  4. Step 4: Simplify right side
    391,290x = 124,277,906,103.32
  5. Step 5: Solve for x
    x = 124,277,906,103.32/391,290
  6. Step 6: Final answer
    x = 317,610.74

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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.