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Finding the Fourth Proportional to 297,419.59, 410,439.21 and 161,453.50

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Solution

The fourth proportional to 297,419.59, 410,439.21 and 161,453.50 is: 222,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,419.59 : 410,439.21 = 161,453.50 : x
  2. Step 2: Convert to fraction form
    297,419.59/410,439.21 = 161,453.50/x
  3. Step 3: Cross multiply
    297,419.59x = 410,439.21 × 161,453.50
  4. Step 4: Simplify right side
    297,419.59x = 66,266,846,991.74
  5. Step 5: Solve for x
    x = 66,266,846,991.74/297,419.59
  6. Step 6: Final answer
    x = 222,805.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.