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Finding the Fourth Proportional to 297,400.13, 410,401.05 and 161,431.14

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Solution

The fourth proportional to 297,400.13, 410,401.05 and 161,431.14 is: 222,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,400.13 : 410,401.05 = 161,431.14 : x
  2. Step 2: Convert to fraction form
    297,400.13/410,401.05 = 161,431.14/x
  3. Step 3: Cross multiply
    297,400.13x = 410,401.05 × 161,431.14
  4. Step 4: Simplify right side
    297,400.13x = 66,251,509,358.70
  5. Step 5: Solve for x
    x = 66,251,509,358.70/297,400.13
  6. Step 6: Final answer
    x = 222,768.94

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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.