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Finding the Fourth Proportional to 296,975.38, 409,824.73 and 161,008.91

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Solution

The fourth proportional to 296,975.38, 409,824.73 and 161,008.91 is: 222,191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,975.38 : 409,824.73 = 161,008.91 : x
  2. Step 2: Convert to fraction form
    296,975.38/409,824.73 = 161,008.91/x
  3. Step 3: Cross multiply
    296,975.38x = 409,824.73 × 161,008.91
  4. Step 4: Simplify right side
    296,975.38x = 65,985,430,616.70
  5. Step 5: Solve for x
    x = 65,985,430,616.70/296,975.38
  6. Step 6: Final answer
    x = 222,191.59

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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.