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Finding the Fourth Proportional to 471,110.56, 650,149.80 and 269,945.44

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Solution

The fourth proportional to 471,110.56, 650,149.80 and 269,945.44 is: 372,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,110.56 : 650,149.80 = 269,945.44 : x
  2. Step 2: Convert to fraction form
    471,110.56/650,149.80 = 269,945.44/x
  3. Step 3: Cross multiply
    471,110.56x = 650,149.80 × 269,945.44
  4. Step 4: Simplify right side
    471,110.56x = 175,504,973,826.91
  5. Step 5: Solve for x
    x = 175,504,973,826.91/471,110.56
  6. Step 6: Final answer
    x = 372,534.58

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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.