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Finding the Fourth Proportional to 263,949.64, 364,391.84 and 206,466.84

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Solution

The fourth proportional to 263,949.64, 364,391.84 and 206,466.84 is: 285,034.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,949.64 : 364,391.84 = 206,466.84 : x
  2. Step 2: Convert to fraction form
    263,949.64/364,391.84 = 206,466.84/x
  3. Step 3: Cross multiply
    263,949.64x = 364,391.84 × 206,466.84
  4. Step 4: Simplify right side
    263,949.64x = 75,234,828,872.29
  5. Step 5: Solve for x
    x = 75,234,828,872.29/263,949.64
  6. Step 6: Final answer
    x = 285,034.78

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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.