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Finding the Fourth Proportional to 471,768.96, 650,991.69 and 275,541.60

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Solution

The fourth proportional to 471,768.96, 650,991.69 and 275,541.60 is: 380,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,768.96 : 650,991.69 = 275,541.60 : x
  2. Step 2: Convert to fraction form
    471,768.96/650,991.69 = 275,541.60/x
  3. Step 3: Cross multiply
    471,768.96x = 650,991.69 × 275,541.60
  4. Step 4: Simplify right side
    471,768.96x = 179,375,291,849.30
  5. Step 5: Solve for x
    x = 179,375,291,849.30/471,768.96
  6. Step 6: Final answer
    x = 380,218.51

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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.