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Finding the Fourth Proportional to 381,094.53, 571,863.23 and 170,732.47

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Solution

The fourth proportional to 381,094.53, 571,863.23 and 170,732.47 is: 256,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,094.53 : 571,863.23 = 170,732.47 : x
  2. Step 2: Convert to fraction form
    381,094.53/571,863.23 = 170,732.47/x
  3. Step 3: Cross multiply
    381,094.53x = 571,863.23 × 170,732.47
  4. Step 4: Simplify right side
    381,094.53x = 97,635,621,760.08
  5. Step 5: Solve for x
    x = 97,635,621,760.08/381,094.53
  6. Step 6: Final answer
    x = 256,197.91

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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.