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Finding the Fourth Proportional to 297,314.96, 410,295.75 and 161,348.90

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Solution

The fourth proportional to 297,314.96, 410,295.75 and 161,348.90 is: 222,662.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,314.96 : 410,295.75 = 161,348.90 : x
  2. Step 2: Convert to fraction form
    297,314.96/410,295.75 = 161,348.90/x
  3. Step 3: Cross multiply
    297,314.96x = 410,295.75 × 161,348.90
  4. Step 4: Simplify right side
    297,314.96x = 66,200,767,937.18
  5. Step 5: Solve for x
    x = 66,200,767,937.18/297,314.96
  6. Step 6: Final answer
    x = 222,662.08

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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.