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Finding the Fourth Proportional to 414,697.19, 622,144.50 and 134,214.44

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Solution

The fourth proportional to 414,697.19, 622,144.50 and 134,214.44 is: 201,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,697.19 : 622,144.50 = 134,214.44 : x
  2. Step 2: Convert to fraction form
    414,697.19/622,144.50 = 134,214.44/x
  3. Step 3: Cross multiply
    414,697.19x = 622,144.50 × 134,214.44
  4. Step 4: Simplify right side
    414,697.19x = 83,500,775,666.58
  5. Step 5: Solve for x
    x = 83,500,775,666.58/414,697.19
  6. Step 6: Final answer
    x = 201,353.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.