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Finding the Fourth Proportional to 548,811.23, 823,216.86 and 361,778.99

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Solution

The fourth proportional to 548,811.23, 823,216.86 and 361,778.99 is: 542,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,811.23 : 823,216.86 = 361,778.99 : x
  2. Step 2: Convert to fraction form
    548,811.23/823,216.86 = 361,778.99/x
  3. Step 3: Cross multiply
    548,811.23x = 823,216.86 × 361,778.99
  4. Step 4: Simplify right side
    548,811.23x = 297,822,560,045.69
  5. Step 5: Solve for x
    x = 297,822,560,045.69/548,811.23
  6. Step 6: Final answer
    x = 542,668.49

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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.