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Finding the Fourth Proportional to 257,753.78, 386,913.50 and 204,786.23

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Solution

The fourth proportional to 257,753.78, 386,913.50 and 204,786.23 is: 307,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,753.78 : 386,913.50 = 204,786.23 : x
  2. Step 2: Convert to fraction form
    257,753.78/386,913.50 = 204,786.23/x
  3. Step 3: Cross multiply
    257,753.78x = 386,913.50 × 204,786.23
  4. Step 4: Simplify right side
    257,753.78x = 79,234,555,493.53
  5. Step 5: Solve for x
    x = 79,234,555,493.53/257,753.78
  6. Step 6: Final answer
    x = 307,404.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.