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Finding the Fourth Proportional to 462,523.32, 638,286.57 and 271,539.90

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Solution

The fourth proportional to 462,523.32, 638,286.57 and 271,539.90 is: 374,727.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,523.32 : 638,286.57 = 271,539.90 : x
  2. Step 2: Convert to fraction form
    462,523.32/638,286.57 = 271,539.90/x
  3. Step 3: Cross multiply
    462,523.32x = 638,286.57 × 271,539.90
  4. Step 4: Simplify right side
    462,523.32x = 173,320,271,389.14
  5. Step 5: Solve for x
    x = 173,320,271,389.14/462,523.32
  6. Step 6: Final answer
    x = 374,727.64

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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.