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Finding the Fourth Proportional to 534,993.50, 801,924.60 and 197,817.78

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Solution

The fourth proportional to 534,993.50, 801,924.60 and 197,817.78 is: 296,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,993.50 : 801,924.60 = 197,817.78 : x
  2. Step 2: Convert to fraction form
    534,993.50/801,924.60 = 197,817.78/x
  3. Step 3: Cross multiply
    534,993.50x = 801,924.60 × 197,817.78
  4. Step 4: Simplify right side
    534,993.50x = 158,634,944,099.39
  5. Step 5: Solve for x
    x = 158,634,944,099.39/534,993.50
  6. Step 6: Final answer
    x = 296,517.52

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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.