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Finding the Fourth Proportional to 293,832, 405,489.60 and 159,696

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Solution

The fourth proportional to 293,832, 405,489.60 and 159,696 is: 220,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,832 : 405,489.60 = 159,696 : x
  2. Step 2: Convert to fraction form
    293,832/405,489.60 = 159,696/x
  3. Step 3: Cross multiply
    293,832x = 405,489.60 × 159,696
  4. Step 4: Simplify right side
    293,832x = 64,755,067,161.60
  5. Step 5: Solve for x
    x = 64,755,067,161.60/293,832
  6. Step 6: Final answer
    x = 220,381.26

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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.