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Finding the Fourth Proportional to 297,406.20, 410,409.39 and 161,437.23

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Solution

The fourth proportional to 297,406.20, 410,409.39 and 161,437.23 is: 222,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,406.20 : 410,409.39 = 161,437.23 : x
  2. Step 2: Convert to fraction form
    297,406.20/410,409.39 = 161,437.23/x
  3. Step 3: Cross multiply
    297,406.20x = 410,409.39 × 161,437.23
  4. Step 4: Simplify right side
    297,406.20x = 66,255,355,087.59
  5. Step 5: Solve for x
    x = 66,255,355,087.59/297,406.20
  6. Step 6: Final answer
    x = 222,777.32

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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.