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Finding the Fourth Proportional to 598,496.80, 897,550.80 and 199,069.60

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Solution

The fourth proportional to 598,496.80, 897,550.80 and 199,069.60 is: 298,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,496.80 : 897,550.80 = 199,069.60 : x
  2. Step 2: Convert to fraction form
    598,496.80/897,550.80 = 199,069.60/x
  3. Step 3: Cross multiply
    598,496.80x = 897,550.80 × 199,069.60
  4. Step 4: Simplify right side
    598,496.80x = 178,675,078,735.68
  5. Step 5: Solve for x
    x = 178,675,078,735.68/598,496.80
  6. Step 6: Final answer
    x = 298,539.74

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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.