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Finding the Fourth Proportional to 643,995.50, 965,993.26 and 200,763.50

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Solution

The fourth proportional to 643,995.50, 965,993.26 and 200,763.50 is: 301,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,995.50 : 965,993.26 = 200,763.50 : x
  2. Step 2: Convert to fraction form
    643,995.50/965,993.26 = 200,763.50/x
  3. Step 3: Cross multiply
    643,995.50x = 965,993.26 × 200,763.50
  4. Step 4: Simplify right side
    643,995.50x = 193,936,187,854.01
  5. Step 5: Solve for x
    x = 193,936,187,854.01/643,995.50
  6. Step 6: Final answer
    x = 301,145.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.