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Finding the Fourth Proportional to 381,975.52, 573,060.66 and 179,532.42

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Solution

The fourth proportional to 381,975.52, 573,060.66 and 179,532.42 is: 269,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,975.52 : 573,060.66 = 179,532.42 : x
  2. Step 2: Convert to fraction form
    381,975.52/573,060.66 = 179,532.42/x
  3. Step 3: Cross multiply
    381,975.52x = 573,060.66 × 179,532.42
  4. Step 4: Simplify right side
    381,975.52x = 102,882,967,096.60
  5. Step 5: Solve for x
    x = 102,882,967,096.60/381,975.52
  6. Step 6: Final answer
    x = 269,344.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.