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Finding the Fourth Proportional to 548,994.80, 823,398.77 and 149,542.16

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Solution

The fourth proportional to 548,994.80, 823,398.77 and 149,542.16 is: 224,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,994.80 : 823,398.77 = 149,542.16 : x
  2. Step 2: Convert to fraction form
    548,994.80/823,398.77 = 149,542.16/x
  3. Step 3: Cross multiply
    548,994.80x = 823,398.77 × 149,542.16
  4. Step 4: Simplify right side
    548,994.80x = 123,132,826,864.01
  5. Step 5: Solve for x
    x = 123,132,826,864.01/548,994.80
  6. Step 6: Final answer
    x = 224,287.78

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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.