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Finding the Fourth Proportional to 297,298.62, 410,269.95 and 161,329.14

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Solution

The fourth proportional to 297,298.62, 410,269.95 and 161,329.14 is: 222,633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,298.62 : 410,269.95 = 161,329.14 : x
  2. Step 2: Convert to fraction form
    297,298.62/410,269.95 = 161,329.14/x
  3. Step 3: Cross multiply
    297,298.62x = 410,269.95 × 161,329.14
  4. Step 4: Simplify right side
    297,298.62x = 66,188,498,201.34
  5. Step 5: Solve for x
    x = 66,188,498,201.34/297,298.62
  6. Step 6: Final answer
    x = 222,633.05

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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.