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Finding the Fourth Proportional to 381,452.24, 526,282.44 and 220,286

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Solution

The fourth proportional to 381,452.24, 526,282.44 and 220,286 is: 303,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,452.24 : 526,282.44 = 220,286 : x
  2. Step 2: Convert to fraction form
    381,452.24/526,282.44 = 220,286/x
  3. Step 3: Cross multiply
    381,452.24x = 526,282.44 × 220,286
  4. Step 4: Simplify right side
    381,452.24x = 115,932,653,577.84
  5. Step 5: Solve for x
    x = 115,932,653,577.84/381,452.24
  6. Step 6: Final answer
    x = 303,924.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.