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Finding the Fourth Proportional to 267,664.20, 401,496.30 and 205,456.20

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Solution

The fourth proportional to 267,664.20, 401,496.30 and 205,456.20 is: 308,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,664.20 : 401,496.30 = 205,456.20 : x
  2. Step 2: Convert to fraction form
    267,664.20/401,496.30 = 205,456.20/x
  3. Step 3: Cross multiply
    267,664.20x = 401,496.30 × 205,456.20
  4. Step 4: Simplify right side
    267,664.20x = 82,489,904,112.06
  5. Step 5: Solve for x
    x = 82,489,904,112.06/267,664.20
  6. Step 6: Final answer
    x = 308,184.30

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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.