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Finding the Fourth Proportional to 467,850.52, 645,639.42 and 263,882.80

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Solution

The fourth proportional to 467,850.52, 645,639.42 and 263,882.80 is: 364,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,850.52 : 645,639.42 = 263,882.80 : x
  2. Step 2: Convert to fraction form
    467,850.52/645,639.42 = 263,882.80/x
  3. Step 3: Cross multiply
    467,850.52x = 645,639.42 × 263,882.80
  4. Step 4: Simplify right side
    467,850.52x = 170,373,137,939.98
  5. Step 5: Solve for x
    x = 170,373,137,939.98/467,850.52
  6. Step 6: Final answer
    x = 364,161.48

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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.