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Finding the Fourth Proportional to 298,620.10, 412,180.41 and 196,719.94

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Solution

The fourth proportional to 298,620.10, 412,180.41 and 196,719.94 is: 271,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,620.10 : 412,180.41 = 196,719.94 : x
  2. Step 2: Convert to fraction form
    298,620.10/412,180.41 = 196,719.94/x
  3. Step 3: Cross multiply
    298,620.10x = 412,180.41 × 196,719.94
  4. Step 4: Simplify right side
    298,620.10x = 81,084,105,524.38
  5. Step 5: Solve for x
    x = 81,084,105,524.38/298,620.10
  6. Step 6: Final answer
    x = 271,529.30

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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.