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Finding the Fourth Proportional to 512,643.30, 768,734.55 and 196,995.30

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Solution

The fourth proportional to 512,643.30, 768,734.55 and 196,995.30 is: 295,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,643.30 : 768,734.55 = 196,995.30 : x
  2. Step 2: Convert to fraction form
    512,643.30/768,734.55 = 196,995.30/x
  3. Step 3: Cross multiply
    512,643.30x = 768,734.55 × 196,995.30
  4. Step 4: Simplify right side
    512,643.30x = 151,437,093,297.62
  5. Step 5: Solve for x
    x = 151,437,093,297.62/512,643.30
  6. Step 6: Final answer
    x = 295,404.41

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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.