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Finding the Fourth Proportional to 297,364.02, 410,362.80 and 161,398.02

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Solution

The fourth proportional to 297,364.02, 410,362.80 and 161,398.02 is: 222,729.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,364.02 : 410,362.80 = 161,398.02 : x
  2. Step 2: Convert to fraction form
    297,364.02/410,362.80 = 161,398.02/x
  3. Step 3: Cross multiply
    297,364.02x = 410,362.80 × 161,398.02
  4. Step 4: Simplify right side
    297,364.02x = 66,231,743,401.66
  5. Step 5: Solve for x
    x = 66,231,743,401.66/297,364.02
  6. Step 6: Final answer
    x = 222,729.51

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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.