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Finding the Fourth Proportional to 338,278.50, 466,824.33 and 204,142.50

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Solution

The fourth proportional to 338,278.50, 466,824.33 and 204,142.50 is: 281,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,278.50 : 466,824.33 = 204,142.50 : x
  2. Step 2: Convert to fraction form
    338,278.50/466,824.33 = 204,142.50/x
  3. Step 3: Cross multiply
    338,278.50x = 466,824.33 × 204,142.50
  4. Step 4: Simplify right side
    338,278.50x = 95,298,685,787.03
  5. Step 5: Solve for x
    x = 95,298,685,787.03/338,278.50
  6. Step 6: Final answer
    x = 281,716.65

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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.