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Finding the Fourth Proportional to 548,729.87, 823,101.71 and 193,494.78

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Solution

The fourth proportional to 548,729.87, 823,101.71 and 193,494.78 is: 290,244.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,729.87 : 823,101.71 = 193,494.78 : x
  2. Step 2: Convert to fraction form
    548,729.87/823,101.71 = 193,494.78/x
  3. Step 3: Cross multiply
    548,729.87x = 823,101.71 × 193,494.78
  4. Step 4: Simplify right side
    548,729.87x = 159,265,883,326.60
  5. Step 5: Solve for x
    x = 159,265,883,326.60/548,729.87
  6. Step 6: Final answer
    x = 290,244.61

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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.