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Finding the Fourth Proportional to 297,365.34, 410,364.62 and 161,399.34

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Solution

The fourth proportional to 297,365.34, 410,364.62 and 161,399.34 is: 222,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,365.34 : 410,364.62 = 161,399.34 : x
  2. Step 2: Convert to fraction form
    297,365.34/410,364.62 = 161,399.34/x
  3. Step 3: Cross multiply
    297,365.34x = 410,364.62 × 161,399.34
  4. Step 4: Simplify right side
    297,365.34x = 66,232,578,827.35
  5. Step 5: Solve for x
    x = 66,232,578,827.35/297,365.34
  6. Step 6: Final answer
    x = 222,731.33

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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.