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Finding the Fourth Proportional to 273,647.37, 410,471.04 and 199,241.01

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Solution

The fourth proportional to 273,647.37, 410,471.04 and 199,241.01 is: 298,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,647.37 : 410,471.04 = 199,241.01 : x
  2. Step 2: Convert to fraction form
    273,647.37/410,471.04 = 199,241.01/x
  3. Step 3: Cross multiply
    273,647.37x = 410,471.04 × 199,241.01
  4. Step 4: Simplify right side
    273,647.37x = 81,782,664,585.35
  5. Step 5: Solve for x
    x = 81,782,664,585.35/273,647.37
  6. Step 6: Final answer
    x = 298,861.50

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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.