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Finding the Fourth Proportional to 264,056.64, 364,448.64 and 206,581.44

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Solution

The fourth proportional to 264,056.64, 364,448.64 and 206,581.44 is: 285,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,056.64 : 364,448.64 = 206,581.44 : x
  2. Step 2: Convert to fraction form
    264,056.64/364,448.64 = 206,581.44/x
  3. Step 3: Cross multiply
    264,056.64x = 364,448.64 × 206,581.44
  4. Step 4: Simplify right side
    264,056.64x = 75,288,324,857.24
  5. Step 5: Solve for x
    x = 75,288,324,857.24/264,056.64
  6. Step 6: Final answer
    x = 285,121.88

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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.