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Finding the Fourth Proportional to 462,410.72, 638,194.56 and 271,528.64

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Solution

The fourth proportional to 462,410.72, 638,194.56 and 271,528.64 is: 374,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,410.72 : 638,194.56 = 271,528.64 : x
  2. Step 2: Convert to fraction form
    462,410.72/638,194.56 = 271,528.64/x
  3. Step 3: Cross multiply
    462,410.72x = 638,194.56 × 271,528.64
  4. Step 4: Simplify right side
    462,410.72x = 173,288,100,932.20
  5. Step 5: Solve for x
    x = 173,288,100,932.20/462,410.72
  6. Step 6: Final answer
    x = 374,749.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.