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Finding the Fourth Proportional to 297,367.34, 410,367.38 and 161,401.34

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Solution

The fourth proportional to 297,367.34, 410,367.38 and 161,401.34 is: 222,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,367.34 : 410,367.38 = 161,401.34 : x
  2. Step 2: Convert to fraction form
    297,367.34/410,367.38 = 161,401.34/x
  3. Step 3: Cross multiply
    297,367.34x = 410,367.38 × 161,401.34
  4. Step 4: Simplify right side
    297,367.34x = 66,233,845,024.29
  5. Step 5: Solve for x
    x = 66,233,845,024.29/297,367.34
  6. Step 6: Final answer
    x = 222,734.09

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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.