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Finding the Fourth Proportional to 273,806.30, 410,286.10 and 213,692.24

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Solution

The fourth proportional to 273,806.30, 410,286.10 and 213,692.24 is: 320,207.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,806.30 : 410,286.10 = 213,692.24 : x
  2. Step 2: Convert to fraction form
    273,806.30/410,286.10 = 213,692.24/x
  3. Step 3: Cross multiply
    273,806.30x = 410,286.10 × 213,692.24
  4. Step 4: Simplify right side
    273,806.30x = 87,674,955,749.86
  5. Step 5: Solve for x
    x = 87,674,955,749.86/273,806.30
  6. Step 6: Final answer
    x = 320,207.96

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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.