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Finding the Fourth Proportional to 471,709.25, 650,958.33 and 256,850.85

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Solution

The fourth proportional to 471,709.25, 650,958.33 and 256,850.85 is: 354,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,709.25 : 650,958.33 = 256,850.85 : x
  2. Step 2: Convert to fraction form
    471,709.25/650,958.33 = 256,850.85/x
  3. Step 3: Cross multiply
    471,709.25x = 650,958.33 × 256,850.85
  4. Step 4: Simplify right side
    471,709.25x = 167,199,198,853.54
  5. Step 5: Solve for x
    x = 167,199,198,853.54/471,709.25
  6. Step 6: Final answer
    x = 354,453.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.