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Finding the Fourth Proportional to 441,098.64, 608,464.44 and 271,212.48

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Solution

The fourth proportional to 441,098.64, 608,464.44 and 271,212.48 is: 374,118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,098.64 : 608,464.44 = 271,212.48 : x
  2. Step 2: Convert to fraction form
    441,098.64/608,464.44 = 271,212.48/x
  3. Step 3: Cross multiply
    441,098.64x = 608,464.44 × 271,212.48
  4. Step 4: Simplify right side
    441,098.64x = 165,023,149,764.21
  5. Step 5: Solve for x
    x = 165,023,149,764.21/441,098.64
  6. Step 6: Final answer
    x = 374,118.47

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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.