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Finding the Fourth Proportional to 299,310.03, 413,200.22 and 231,174.05

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Solution

The fourth proportional to 299,310.03, 413,200.22 and 231,174.05 is: 319,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,310.03 : 413,200.22 = 231,174.05 : x
  2. Step 2: Convert to fraction form
    299,310.03/413,200.22 = 231,174.05/x
  3. Step 3: Cross multiply
    299,310.03x = 413,200.22 × 231,174.05
  4. Step 4: Simplify right side
    299,310.03x = 95,521,165,096.42
  5. Step 5: Solve for x
    x = 95,521,165,096.42/299,310.03
  6. Step 6: Final answer
    x = 319,137.87

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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.