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Finding the Fourth Proportional to 298,623.38, 412,100.27 and 164,487.38

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Solution

The fourth proportional to 298,623.38, 412,100.27 and 164,487.38 is: 226,992.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,623.38 : 412,100.27 = 164,487.38 : x
  2. Step 2: Convert to fraction form
    298,623.38/412,100.27 = 164,487.38/x
  3. Step 3: Cross multiply
    298,623.38x = 412,100.27 × 164,487.38
  4. Step 4: Simplify right side
    298,623.38x = 67,785,290,826.65
  5. Step 5: Solve for x
    x = 67,785,290,826.65/298,623.38
  6. Step 6: Final answer
    x = 226,992.58

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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.