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Finding the Fourth Proportional to 305,786.74, 421,984.07 and 167,968.38

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Solution

The fourth proportional to 305,786.74, 421,984.07 and 167,968.38 is: 231,795.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,786.74 : 421,984.07 = 167,968.38 : x
  2. Step 2: Convert to fraction form
    305,786.74/421,984.07 = 167,968.38/x
  3. Step 3: Cross multiply
    305,786.74x = 421,984.07 × 167,968.38
  4. Step 4: Simplify right side
    305,786.74x = 70,879,980,623.71
  5. Step 5: Solve for x
    x = 70,879,980,623.71/305,786.74
  6. Step 6: Final answer
    x = 231,795.47

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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.