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Finding the Fourth Proportional to 467,940.33, 645,757.78 and 264,034.47

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Solution

The fourth proportional to 467,940.33, 645,757.78 and 264,034.47 is: 364,367.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,940.33 : 645,757.78 = 264,034.47 : x
  2. Step 2: Convert to fraction form
    467,940.33/645,757.78 = 264,034.47/x
  3. Step 3: Cross multiply
    467,940.33x = 645,757.78 × 264,034.47
  4. Step 4: Simplify right side
    467,940.33x = 170,502,313,190.68
  5. Step 5: Solve for x
    x = 170,502,313,190.68/467,940.33
  6. Step 6: Final answer
    x = 364,367.64

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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.