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Finding the Fourth Proportional to 299,936.84, 413,893.14 and 172,591.88

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Solution

The fourth proportional to 299,936.84, 413,893.14 and 172,591.88 is: 238,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,936.84 : 413,893.14 = 172,591.88 : x
  2. Step 2: Convert to fraction form
    299,936.84/413,893.14 = 172,591.88/x
  3. Step 3: Cross multiply
    299,936.84x = 413,893.14 × 172,591.88
  4. Step 4: Simplify right side
    299,936.84x = 71,434,595,151.70
  5. Step 5: Solve for x
    x = 71,434,595,151.70/299,936.84
  6. Step 6: Final answer
    x = 238,165.46

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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.