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Finding the Fourth Proportional to 330,728.68, 456,245.22 and 196,497.64

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Solution

The fourth proportional to 330,728.68, 456,245.22 and 196,497.64 is: 271,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,728.68 : 456,245.22 = 196,497.64 : x
  2. Step 2: Convert to fraction form
    330,728.68/456,245.22 = 196,497.64/x
  3. Step 3: Cross multiply
    330,728.68x = 456,245.22 × 196,497.64
  4. Step 4: Simplify right side
    330,728.68x = 89,651,108,991.28
  5. Step 5: Solve for x
    x = 89,651,108,991.28/330,728.68
  6. Step 6: Final answer
    x = 271,071.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.