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Finding the Fourth Proportional to 471,769.96, 650,993.07 and 275,542.60

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Solution

The fourth proportional to 471,769.96, 650,993.07 and 275,542.60 is: 380,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,769.96 : 650,993.07 = 275,542.60 : x
  2. Step 2: Convert to fraction form
    471,769.96/650,993.07 = 275,542.60/x
  3. Step 3: Cross multiply
    471,769.96x = 650,993.07 × 275,542.60
  4. Step 4: Simplify right side
    471,769.96x = 179,376,323,089.78
  5. Step 5: Solve for x
    x = 179,376,323,089.78/471,769.96
  6. Step 6: Final answer
    x = 380,219.89

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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.