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Finding the Fourth Proportional to 297,309.98, 410,288.85 and 161,343.90

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Solution

The fourth proportional to 297,309.98, 410,288.85 and 161,343.90 is: 222,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,309.98 : 410,288.85 = 161,343.90 : x
  2. Step 2: Convert to fraction form
    297,309.98/410,288.85 = 161,343.90/x
  3. Step 3: Cross multiply
    297,309.98x = 410,288.85 × 161,343.90
  4. Step 4: Simplify right side
    297,309.98x = 66,197,603,185.52
  5. Step 5: Solve for x
    x = 66,197,603,185.52/297,309.98
  6. Step 6: Final answer
    x = 222,655.16

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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.