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Finding the Fourth Proportional to 299,671.50, 413,546.67 and 165,535.50

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Solution

The fourth proportional to 299,671.50, 413,546.67 and 165,535.50 is: 228,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,671.50 : 413,546.67 = 165,535.50 : x
  2. Step 2: Convert to fraction form
    299,671.50/413,546.67 = 165,535.50/x
  3. Step 3: Cross multiply
    299,671.50x = 413,546.67 × 165,535.50
  4. Step 4: Simplify right side
    299,671.50x = 68,456,654,791.79
  5. Step 5: Solve for x
    x = 68,456,654,791.79/299,671.50
  6. Step 6: Final answer
    x = 228,438.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.