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Finding the Fourth Proportional to 298,917.14, 412,549.61 and 196,926.39

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Solution

The fourth proportional to 298,917.14, 412,549.61 and 196,926.39 is: 271,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,917.14 : 412,549.61 = 196,926.39 : x
  2. Step 2: Convert to fraction form
    298,917.14/412,549.61 = 196,926.39/x
  3. Step 3: Cross multiply
    298,917.14x = 412,549.61 × 196,926.39
  4. Step 4: Simplify right side
    298,917.14x = 81,241,904,408.58
  5. Step 5: Solve for x
    x = 81,241,904,408.58/298,917.14
  6. Step 6: Final answer
    x = 271,787.38

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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.