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Finding the Fourth Proportional to 338,894.68, 467,687.10 and 204,732.76

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Solution

The fourth proportional to 338,894.68, 467,687.10 and 204,732.76 is: 282,538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,894.68 : 467,687.10 = 204,732.76 : x
  2. Step 2: Convert to fraction form
    338,894.68/467,687.10 = 204,732.76/x
  3. Step 3: Cross multiply
    338,894.68x = 467,687.10 × 204,732.76
  4. Step 4: Simplify right side
    338,894.68x = 95,750,870,799.40
  5. Step 5: Solve for x
    x = 95,750,870,799.40/338,894.68
  6. Step 6: Final answer
    x = 282,538.73

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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.