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Finding the Fourth Proportional to 306,066.52, 422,371.40 and 170,096.16

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Solution

The fourth proportional to 306,066.52, 422,371.40 and 170,096.16 is: 234,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,066.52 : 422,371.40 = 170,096.16 : x
  2. Step 2: Convert to fraction form
    306,066.52/422,371.40 = 170,096.16/x
  3. Step 3: Cross multiply
    306,066.52x = 422,371.40 × 170,096.16
  4. Step 4: Simplify right side
    306,066.52x = 71,843,753,233.82
  5. Step 5: Solve for x
    x = 71,843,753,233.82/306,066.52
  6. Step 6: Final answer
    x = 234,732.48

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1.5x scale

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.