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Finding the Fourth Proportional to 296,984.38, 409,841.49 and 161,018.59

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Solution

The fourth proportional to 296,984.38, 409,841.49 and 161,018.59 is: 222,207.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,984.38 : 409,841.49 = 161,018.59 : x
  2. Step 2: Convert to fraction form
    296,984.38/409,841.49 = 161,018.59/x
  3. Step 3: Cross multiply
    296,984.38x = 409,841.49 × 161,018.59
  4. Step 4: Simplify right side
    296,984.38x = 65,992,098,843.30
  5. Step 5: Solve for x
    x = 65,992,098,843.30/296,984.38
  6. Step 6: Final answer
    x = 222,207.31

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1.5x scale

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.