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Finding the Fourth Proportional to 298,889.04, 412,469.64 and 164,757.84

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Solution

The fourth proportional to 298,889.04, 412,469.64 and 164,757.84 is: 227,367.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,889.04 : 412,469.64 = 164,757.84 : x
  2. Step 2: Convert to fraction form
    298,889.04/412,469.64 = 164,757.84/x
  3. Step 3: Cross multiply
    298,889.04x = 412,469.64 × 164,757.84
  4. Step 4: Simplify right side
    298,889.04x = 67,957,606,951.98
  5. Step 5: Solve for x
    x = 67,957,606,951.98/298,889.04
  6. Step 6: Final answer
    x = 227,367.34

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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.