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Finding the Fourth Proportional to 471,151.20, 650,205.76 and 269,986.08

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Solution

The fourth proportional to 471,151.20, 650,205.76 and 269,986.08 is: 372,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,151.20 : 650,205.76 = 269,986.08 : x
  2. Step 2: Convert to fraction form
    471,151.20/650,205.76 = 269,986.08/x
  3. Step 3: Cross multiply
    471,151.20x = 650,205.76 × 269,986.08
  4. Step 4: Simplify right side
    471,151.20x = 175,546,504,335.82
  5. Step 5: Solve for x
    x = 175,546,504,335.82/471,151.20
  6. Step 6: Final answer
    x = 372,590.59

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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.