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Finding the Fourth Proportional to 411,682, 568,121.16 and 223,266

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Solution

The fourth proportional to 411,682, 568,121.16 and 223,266 is: 308,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,682 : 568,121.16 = 223,266 : x
  2. Step 2: Convert to fraction form
    411,682/568,121.16 = 223,266/x
  3. Step 3: Cross multiply
    411,682x = 568,121.16 × 223,266
  4. Step 4: Simplify right side
    411,682x = 126,842,138,908.56
  5. Step 5: Solve for x
    x = 126,842,138,908.56/411,682
  6. Step 6: Final answer
    x = 308,107.08

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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.