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Finding the Fourth Proportional to 548,954.78, 823,284.02 and 193,922.06

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Solution

The fourth proportional to 548,954.78, 823,284.02 and 193,922.06 is: 290,830.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,954.78 : 823,284.02 = 193,922.06 : x
  2. Step 2: Convert to fraction form
    548,954.78/823,284.02 = 193,922.06/x
  3. Step 3: Cross multiply
    548,954.78x = 823,284.02 × 193,922.06
  4. Step 4: Simplify right side
    548,954.78x = 159,652,933,123.48
  5. Step 5: Solve for x
    x = 159,652,933,123.48/548,954.78
  6. Step 6: Final answer
    x = 290,830.75

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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.