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Finding the Fourth Proportional to 471,657.76, 650,067.60 and 410,849.44

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Solution

The fourth proportional to 471,657.76, 650,067.60 and 410,849.44 is: 566,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,657.76 : 650,067.60 = 410,849.44 : x
  2. Step 2: Convert to fraction form
    471,657.76/650,067.60 = 410,849.44/x
  3. Step 3: Cross multiply
    471,657.76x = 650,067.60 × 410,849.44
  4. Step 4: Simplify right side
    471,657.76x = 267,079,909,422.14
  5. Step 5: Solve for x
    x = 267,079,909,422.14/471,657.76
  6. Step 6: Final answer
    x = 566,257.85

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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.