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Finding the Fourth Proportional to 335,512, 462,853.99 and 199,468.75

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Solution

The fourth proportional to 335,512, 462,853.99 and 199,468.75 is: 275,176.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,512 : 462,853.99 = 199,468.75 : x
  2. Step 2: Convert to fraction form
    335,512/462,853.99 = 199,468.75/x
  3. Step 3: Cross multiply
    335,512x = 462,853.99 × 199,468.75
  4. Step 4: Simplify right side
    335,512x = 92,324,906,817.81
  5. Step 5: Solve for x
    x = 92,324,906,817.81/335,512
  6. Step 6: Final answer
    x = 275,176.17

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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.