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Finding the Fourth Proportional to 298,599.75, 412,067.66 and 164,463.75

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Solution

The fourth proportional to 298,599.75, 412,067.66 and 164,463.75 is: 226,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,599.75 : 412,067.66 = 164,463.75 : x
  2. Step 2: Convert to fraction form
    298,599.75/412,067.66 = 164,463.75/x
  3. Step 3: Cross multiply
    298,599.75x = 412,067.66 × 164,463.75
  4. Step 4: Simplify right side
    298,599.75x = 67,770,191,795.01
  5. Step 5: Solve for x
    x = 67,770,191,795.01/298,599.75
  6. Step 6: Final answer
    x = 226,959.98

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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.