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Finding the Fourth Proportional to 381,094.10, 571,862.57 and 170,732.03

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Solution

The fourth proportional to 381,094.10, 571,862.57 and 170,732.03 is: 256,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,094.10 : 571,862.57 = 170,732.03 : x
  2. Step 2: Convert to fraction form
    381,094.10/571,862.57 = 170,732.03/x
  3. Step 3: Cross multiply
    381,094.10x = 571,862.57 × 170,732.03
  4. Step 4: Simplify right side
    381,094.10x = 97,635,253,744.14
  5. Step 5: Solve for x
    x = 97,635,253,744.14/381,094.10
  6. Step 6: Final answer
    x = 256,197.24

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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.