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Finding the Fourth Proportional to 297,297.09, 410,267.91 and 161,327.58

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Solution

The fourth proportional to 297,297.09, 410,267.91 and 161,327.58 is: 222,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,297.09 : 410,267.91 = 161,327.58 : x
  2. Step 2: Convert to fraction form
    297,297.09/410,267.91 = 161,327.58/x
  3. Step 3: Cross multiply
    297,297.09x = 410,267.91 × 161,327.58
  4. Step 4: Simplify right side
    297,297.09x = 66,187,529,071.96
  5. Step 5: Solve for x
    x = 66,187,529,071.96/297,297.09
  6. Step 6: Final answer
    x = 222,630.93

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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.