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Finding the Fourth Proportional to 338,235.92, 466,769 and 204,074

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Solution

The fourth proportional to 338,235.92, 466,769 and 204,074 is: 281,624.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,235.92 : 466,769 = 204,074 : x
  2. Step 2: Convert to fraction form
    338,235.92/466,769 = 204,074/x
  3. Step 3: Cross multiply
    338,235.92x = 466,769 × 204,074
  4. Step 4: Simplify right side
    338,235.92x = 95,255,416,906
  5. Step 5: Solve for x
    x = 95,255,416,906/338,235.92
  6. Step 6: Final answer
    x = 281,624.19

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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.