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Finding the Fourth Proportional to 306,193.61, 422,523.24 and 170,219.27

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Solution

The fourth proportional to 306,193.61, 422,523.24 and 170,219.27 is: 234,889.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,193.61 : 422,523.24 = 170,219.27 : x
  2. Step 2: Convert to fraction form
    306,193.61/422,523.24 = 170,219.27/x
  3. Step 3: Cross multiply
    306,193.61x = 422,523.24 × 170,219.27
  4. Step 4: Simplify right side
    306,193.61x = 71,921,595,358.22
  5. Step 5: Solve for x
    x = 71,921,595,358.22/306,193.61
  6. Step 6: Final answer
    x = 234,889.28

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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.