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Finding the Fourth Proportional to 296,996.86, 409,857.49 and 161,029.62

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Solution

The fourth proportional to 296,996.86, 409,857.49 and 161,029.62 is: 222,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,996.86 : 409,857.49 = 161,029.62 : x
  2. Step 2: Convert to fraction form
    296,996.86/409,857.49 = 161,029.62/x
  3. Step 3: Cross multiply
    296,996.86x = 409,857.49 × 161,029.62
  4. Step 4: Simplify right side
    296,996.86x = 65,999,195,868.85
  5. Step 5: Solve for x
    x = 65,999,195,868.85/296,996.86
  6. Step 6: Final answer
    x = 222,221.86

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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.