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Finding the Fourth Proportional to 298,136.77, 411,563.09 and 196,215.75

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Solution

The fourth proportional to 298,136.77, 411,563.09 and 196,215.75 is: 270,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,136.77 : 411,563.09 = 196,215.75 : x
  2. Step 2: Convert to fraction form
    298,136.77/411,563.09 = 196,215.75/x
  3. Step 3: Cross multiply
    298,136.77x = 411,563.09 × 196,215.75
  4. Step 4: Simplify right side
    298,136.77x = 80,755,160,867.21
  5. Step 5: Solve for x
    x = 80,755,160,867.21/298,136.77
  6. Step 6: Final answer
    x = 270,866.16

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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.