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Finding the Fourth Proportional to 338,063.84, 466,844.16 and 217,414.62

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Solution

The fourth proportional to 338,063.84, 466,844.16 and 217,414.62 is: 300,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,063.84 : 466,844.16 = 217,414.62 : x
  2. Step 2: Convert to fraction form
    338,063.84/466,844.16 = 217,414.62/x
  3. Step 3: Cross multiply
    338,063.84x = 466,844.16 × 217,414.62
  4. Step 4: Simplify right side
    338,063.84x = 101,498,745,645.62
  5. Step 5: Solve for x
    x = 101,498,745,645.62/338,063.84
  6. Step 6: Final answer
    x = 300,235.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.