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Finding the Fourth Proportional to 271,049.51, 406,236.89 and 174,732.74

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Solution

The fourth proportional to 271,049.51, 406,236.89 and 174,732.74 is: 261,881.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,049.51 : 406,236.89 = 174,732.74 : x
  2. Step 2: Convert to fraction form
    271,049.51/406,236.89 = 174,732.74/x
  3. Step 3: Cross multiply
    271,049.51x = 406,236.89 × 174,732.74
  4. Step 4: Simplify right side
    271,049.51x = 70,982,883,284.43
  5. Step 5: Solve for x
    x = 70,982,883,284.43/271,049.51
  6. Step 6: Final answer
    x = 261,881.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.