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Finding the Fourth Proportional to 295,964.94, 408,433.38 and 159,998.60

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Solution

The fourth proportional to 295,964.94, 408,433.38 and 159,998.60 is: 220,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,964.94 : 408,433.38 = 159,998.60 : x
  2. Step 2: Convert to fraction form
    295,964.94/408,433.38 = 159,998.60/x
  3. Step 3: Cross multiply
    295,964.94x = 408,433.38 × 159,998.60
  4. Step 4: Simplify right side
    295,964.94x = 65,348,768,993.27
  5. Step 5: Solve for x
    x = 65,348,768,993.27/295,964.94
  6. Step 6: Final answer
    x = 220,799.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.