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Finding the Fourth Proportional to 298,805.42, 412,351.49 and 164,669.42

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Solution

The fourth proportional to 298,805.42, 412,351.49 and 164,669.42 is: 227,243.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,805.42 : 412,351.49 = 164,669.42 : x
  2. Step 2: Convert to fraction form
    298,805.42/412,351.49 = 164,669.42/x
  3. Step 3: Cross multiply
    298,805.42x = 412,351.49 × 164,669.42
  4. Step 4: Simplify right side
    298,805.42x = 67,901,680,694.44
  5. Step 5: Solve for x
    x = 67,901,680,694.44/298,805.42
  6. Step 6: Final answer
    x = 227,243.81

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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.