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Finding the Fourth Proportional to 257,682.20, 356,410.14 and 227,874.20

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Solution

The fourth proportional to 257,682.20, 356,410.14 and 227,874.20 is: 315,181.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,682.20 : 356,410.14 = 227,874.20 : x
  2. Step 2: Convert to fraction form
    257,682.20/356,410.14 = 227,874.20/x
  3. Step 3: Cross multiply
    257,682.20x = 356,410.14 × 227,874.20
  4. Step 4: Simplify right side
    257,682.20x = 81,216,675,524.39
  5. Step 5: Solve for x
    x = 81,216,675,524.39/257,682.20
  6. Step 6: Final answer
    x = 315,181.55

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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.