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Finding the Fourth Proportional to 251,205.82, 378,484.26 and 227,217.84

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Solution

The fourth proportional to 251,205.82, 378,484.26 and 227,217.84 is: 342,342.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,205.82 : 378,484.26 = 227,217.84 : x
  2. Step 2: Convert to fraction form
    251,205.82/378,484.26 = 227,217.84/x
  3. Step 3: Cross multiply
    251,205.82x = 378,484.26 × 227,217.84
  4. Step 4: Simplify right side
    251,205.82x = 85,998,376,031.20
  5. Step 5: Solve for x
    x = 85,998,376,031.20/251,205.82
  6. Step 6: Final answer
    x = 342,342.29

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.