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Finding the Fourth Proportional to 251,204.82, 378,482.75 and 227,216.84

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Solution

The fourth proportional to 251,204.82, 378,482.75 and 227,216.84 is: 342,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,204.82 : 378,482.75 = 227,216.84 : x
  2. Step 2: Convert to fraction form
    251,204.82/378,482.75 = 227,216.84/x
  3. Step 3: Cross multiply
    251,204.82x = 378,482.75 × 227,216.84
  4. Step 4: Simplify right side
    251,204.82x = 85,997,654,449.51
  5. Step 5: Solve for x
    x = 85,997,654,449.51/251,204.82
  6. Step 6: Final answer
    x = 342,340.78

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Why These Related Problems?

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