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Finding the Fourth Proportional to 297,729.20, 410,857.80 and 161,757.20

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Solution

The fourth proportional to 297,729.20, 410,857.80 and 161,757.20 is: 223,220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,729.20 : 410,857.80 = 161,757.20 : x
  2. Step 2: Convert to fraction form
    297,729.20/410,857.80 = 161,757.20/x
  3. Step 3: Cross multiply
    297,729.20x = 410,857.80 × 161,757.20
  4. Step 4: Simplify right side
    297,729.20x = 66,459,207,326.16
  5. Step 5: Solve for x
    x = 66,459,207,326.16/297,729.20
  6. Step 6: Final answer
    x = 223,220.32

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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.