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Finding the Fourth Proportional to 306,066.52, 422,371.38 and 170,096.20

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Solution

The fourth proportional to 306,066.52, 422,371.38 and 170,096.20 is: 234,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,066.52 : 422,371.38 = 170,096.20 : x
  2. Step 2: Convert to fraction form
    306,066.52/422,371.38 = 170,096.20/x
  3. Step 3: Cross multiply
    306,066.52x = 422,371.38 × 170,096.20
  4. Step 4: Simplify right side
    306,066.52x = 71,843,766,726.76
  5. Step 5: Solve for x
    x = 71,843,766,726.76/306,066.52
  6. Step 6: Final answer
    x = 234,732.52

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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.