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Finding the Fourth Proportional to 299,436.97, 413,223.11 and 165,300.97

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Solution

The fourth proportional to 299,436.97, 413,223.11 and 165,300.97 is: 228,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,436.97 : 413,223.11 = 165,300.97 : x
  2. Step 2: Convert to fraction form
    299,436.97/413,223.11 = 165,300.97/x
  3. Step 3: Cross multiply
    299,436.97x = 413,223.11 × 165,300.97
  4. Step 4: Simplify right side
    299,436.97x = 68,306,180,909.42
  5. Step 5: Solve for x
    x = 68,306,180,909.42/299,436.97
  6. Step 6: Final answer
    x = 228,115.39

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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.