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Finding the Fourth Proportional to 411,683, 568,122.54 and 223,267

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Solution

The fourth proportional to 411,683, 568,122.54 and 223,267 is: 308,108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,683 : 568,122.54 = 223,267 : x
  2. Step 2: Convert to fraction form
    411,683/568,122.54 = 223,267/x
  3. Step 3: Cross multiply
    411,683x = 568,122.54 × 223,267
  4. Step 4: Simplify right side
    411,683x = 126,843,015,138.18
  5. Step 5: Solve for x
    x = 126,843,015,138.18/411,683
  6. Step 6: Final answer
    x = 308,108.46

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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.