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Finding the Fourth Proportional to 306,346.30, 422,695.32 and 178,997.28

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Solution

The fourth proportional to 306,346.30, 422,695.32 and 178,997.28 is: 246,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,346.30 : 422,695.32 = 178,997.28 : x
  2. Step 2: Convert to fraction form
    306,346.30/422,695.32 = 178,997.28/x
  3. Step 3: Cross multiply
    306,346.30x = 422,695.32 × 178,997.28
  4. Step 4: Simplify right side
    306,346.30x = 75,661,312,548.73
  5. Step 5: Solve for x
    x = 75,661,312,548.73/306,346.30
  6. Step 6: Final answer
    x = 246,979.68

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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.