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Finding the Fourth Proportional to 299,493.84, 413,318.25 and 163,540.44

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Solution

The fourth proportional to 299,493.84, 413,318.25 and 163,540.44 is: 225,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,493.84 : 413,318.25 = 163,540.44 : x
  2. Step 2: Convert to fraction form
    299,493.84/413,318.25 = 163,540.44/x
  3. Step 3: Cross multiply
    299,493.84x = 413,318.25 × 163,540.44
  4. Step 4: Simplify right side
    299,493.84x = 67,594,248,465.03
  5. Step 5: Solve for x
    x = 67,594,248,465.03/299,493.84
  6. Step 6: Final answer
    x = 225,694.95

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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.