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Finding the Fourth Proportional to 694,665, 1,041,997.50 and 196,029

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Solution

The fourth proportional to 694,665, 1,041,997.50 and 196,029 is: 294,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,665 : 1,041,997.50 = 196,029 : x
  2. Step 2: Convert to fraction form
    694,665/1,041,997.50 = 196,029/x
  3. Step 3: Cross multiply
    694,665x = 1,041,997.50 × 196,029
  4. Step 4: Simplify right side
    694,665x = 204,261,727,927.50
  5. Step 5: Solve for x
    x = 204,261,727,927.50/694,665
  6. Step 6: Final answer
    x = 294,043.50

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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.