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Finding the Fourth Proportional to 305,785.74, 421,982.69 and 167,967.38

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Solution

The fourth proportional to 305,785.74, 421,982.69 and 167,967.38 is: 231,794.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,785.74 : 421,982.69 = 167,967.38 : x
  2. Step 2: Convert to fraction form
    305,785.74/421,982.69 = 167,967.38/x
  3. Step 3: Cross multiply
    305,785.74x = 421,982.69 × 167,967.38
  4. Step 4: Simplify right side
    305,785.74x = 70,879,326,844.65
  5. Step 5: Solve for x
    x = 70,879,326,844.65/305,785.74
  6. Step 6: Final answer
    x = 231,794.09

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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.