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Finding the Fourth Proportional to 296,991.60, 409,843.44 and 167,928

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Solution

The fourth proportional to 296,991.60, 409,843.44 and 167,928 is: 231,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,991.60 : 409,843.44 = 167,928 : x
  2. Step 2: Convert to fraction form
    296,991.60/409,843.44 = 167,928/x
  3. Step 3: Cross multiply
    296,991.60x = 409,843.44 × 167,928
  4. Step 4: Simplify right side
    296,991.60x = 68,824,189,192.32
  5. Step 5: Solve for x
    x = 68,824,189,192.32/296,991.60
  6. Step 6: Final answer
    x = 231,737.83

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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.