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Finding the Fourth Proportional to 548,701.11, 822,847.10 and 188,771.33

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Solution

The fourth proportional to 548,701.11, 822,847.10 and 188,771.33 is: 283,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,701.11 : 822,847.10 = 188,771.33 : x
  2. Step 2: Convert to fraction form
    548,701.11/822,847.10 = 188,771.33/x
  3. Step 3: Cross multiply
    548,701.11x = 822,847.10 × 188,771.33
  4. Step 4: Simplify right side
    548,701.11x = 155,329,936,395.55
  5. Step 5: Solve for x
    x = 155,329,936,395.55/548,701.11
  6. Step 6: Final answer
    x = 283,086.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.