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Finding the Fourth Proportional to 299,976.50, 413,976.21 and 165,849.14

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Solution

The fourth proportional to 299,976.50, 413,976.21 and 165,849.14 is: 228,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,976.50 : 413,976.21 = 165,849.14 : x
  2. Step 2: Convert to fraction form
    299,976.50/413,976.21 = 165,849.14/x
  3. Step 3: Cross multiply
    299,976.50x = 413,976.21 × 165,849.14
  4. Step 4: Simplify right side
    299,976.50x = 68,657,598,408.96
  5. Step 5: Solve for x
    x = 68,657,598,408.96/299,976.50
  6. Step 6: Final answer
    x = 228,876.59

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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.