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Finding the Fourth Proportional to 299,435.97, 413,221.73 and 165,299.97

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Solution

The fourth proportional to 299,435.97, 413,221.73 and 165,299.97 is: 228,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,435.97 : 413,221.73 = 165,299.97 : x
  2. Step 2: Convert to fraction form
    299,435.97/413,221.73 = 165,299.97/x
  3. Step 3: Cross multiply
    299,435.97x = 413,221.73 × 165,299.97
  4. Step 4: Simplify right side
    299,435.97x = 68,305,538,745.85
  5. Step 5: Solve for x
    x = 68,305,538,745.85/299,435.97
  6. Step 6: Final answer
    x = 228,114.01

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1.5x scale

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.