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Finding the Fourth Proportional to 548,843.80, 823,023.78 and 174,904.60

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Solution

The fourth proportional to 548,843.80, 823,023.78 and 174,904.60 is: 262,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,843.80 : 823,023.78 = 174,904.60 : x
  2. Step 2: Convert to fraction form
    548,843.80/823,023.78 = 174,904.60/x
  3. Step 3: Cross multiply
    548,843.80x = 823,023.78 × 174,904.60
  4. Step 4: Simplify right side
    548,843.80x = 143,950,645,031.39
  5. Step 5: Solve for x
    x = 143,950,645,031.39/548,843.80
  6. Step 6: Final answer
    x = 262,279.81

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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.