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Finding the Fourth Proportional to 263,770.40, 364,168.23 and 203,226.14

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Solution

The fourth proportional to 263,770.40, 364,168.23 and 203,226.14 is: 280,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,770.40 : 364,168.23 = 203,226.14 : x
  2. Step 2: Convert to fraction form
    263,770.40/364,168.23 = 203,226.14/x
  3. Step 3: Cross multiply
    263,770.40x = 364,168.23 × 203,226.14
  4. Step 4: Simplify right side
    263,770.40x = 74,008,503,693.53
  5. Step 5: Solve for x
    x = 74,008,503,693.53/263,770.40
  6. Step 6: Final answer
    x = 280,579.26

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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.