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Finding the Fourth Proportional to 299,806.80, 413,733.12 and 165,670.80

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Solution

The fourth proportional to 299,806.80, 413,733.12 and 165,670.80 is: 228,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,806.80 : 413,733.12 = 165,670.80 : x
  2. Step 2: Convert to fraction form
    299,806.80/413,733.12 = 165,670.80/x
  3. Step 3: Cross multiply
    299,806.80x = 413,733.12 × 165,670.80
  4. Step 4: Simplify right side
    299,806.80x = 68,543,496,976.90
  5. Step 5: Solve for x
    x = 68,543,496,976.90/299,806.80
  6. Step 6: Final answer
    x = 228,625.56

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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.