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Finding the Fourth Proportional to 297,294.97, 410,268.17 and 161,328.94

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Solution

The fourth proportional to 297,294.97, 410,268.17 and 161,328.94 is: 222,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,294.97 : 410,268.17 = 161,328.94 : x
  2. Step 2: Convert to fraction form
    297,294.97/410,268.17 = 161,328.94/x
  3. Step 3: Cross multiply
    297,294.97x = 410,268.17 × 161,328.94
  4. Step 4: Simplify right side
    297,294.97x = 66,188,128,981.84
  5. Step 5: Solve for x
    x = 66,188,128,981.84/297,294.97
  6. Step 6: Final answer
    x = 222,634.54

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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.