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Finding the Fourth Proportional to 273,958.90, 410,938.35 and 189,453.22

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Solution

The fourth proportional to 273,958.90, 410,938.35 and 189,453.22 is: 284,179.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,958.90 : 410,938.35 = 189,453.22 : x
  2. Step 2: Convert to fraction form
    273,958.90/410,938.35 = 189,453.22/x
  3. Step 3: Cross multiply
    273,958.90x = 410,938.35 × 189,453.22
  4. Step 4: Simplify right side
    273,958.90x = 77,853,593,628.99
  5. Step 5: Solve for x
    x = 77,853,593,628.99/273,958.90
  6. Step 6: Final answer
    x = 284,179.83

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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.