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Finding the Fourth Proportional to 334,194.66, 461,214 and 190,960.74

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Solution

The fourth proportional to 334,194.66, 461,214 and 190,960.74 is: 263,540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,194.66 : 461,214 = 190,960.74 : x
  2. Step 2: Convert to fraction form
    334,194.66/461,214 = 190,960.74/x
  3. Step 3: Cross multiply
    334,194.66x = 461,214 × 190,960.74
  4. Step 4: Simplify right side
    334,194.66x = 88,073,766,738.36
  5. Step 5: Solve for x
    x = 88,073,766,738.36/334,194.66
  6. Step 6: Final answer
    x = 263,540.32

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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.