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Finding the Fourth Proportional to 273,806.82, 410,286.90 and 213,692.77

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Solution

The fourth proportional to 273,806.82, 410,286.90 and 213,692.77 is: 320,208.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,806.82 : 410,286.90 = 213,692.77 : x
  2. Step 2: Convert to fraction form
    273,806.82/410,286.90 = 213,692.77/x
  3. Step 3: Cross multiply
    273,806.82x = 410,286.90 × 213,692.77
  4. Step 4: Simplify right side
    273,806.82x = 87,675,344,155.71
  5. Step 5: Solve for x
    x = 87,675,344,155.71/273,806.82
  6. Step 6: Final answer
    x = 320,208.77

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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.