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Finding the Fourth Proportional to 263,950.64, 364,393.22 and 206,467.84

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Solution

The fourth proportional to 263,950.64, 364,393.22 and 206,467.84 is: 285,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,950.64 : 364,393.22 = 206,467.84 : x
  2. Step 2: Convert to fraction form
    263,950.64/364,393.22 = 206,467.84/x
  3. Step 3: Cross multiply
    263,950.64x = 364,393.22 × 206,467.84
  4. Step 4: Simplify right side
    263,950.64x = 75,235,481,044.04
  5. Step 5: Solve for x
    x = 75,235,481,044.04/263,950.64
  6. Step 6: Final answer
    x = 285,036.18

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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.