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Finding the Fourth Proportional to 299,164.10, 412,998.75 and 231,028.11

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Solution

The fourth proportional to 299,164.10, 412,998.75 and 231,028.11 is: 318,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,164.10 : 412,998.75 = 231,028.11 : x
  2. Step 2: Convert to fraction form
    299,164.10/412,998.75 = 231,028.11/x
  3. Step 3: Cross multiply
    299,164.10x = 412,998.75 × 231,028.11
  4. Step 4: Simplify right side
    299,164.10x = 95,414,320,644.86
  5. Step 5: Solve for x
    x = 95,414,320,644.86/299,164.10
  6. Step 6: Final answer
    x = 318,936.40

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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.