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Finding the Fourth Proportional to 340,942.68, 470,406.42 and 195,747.75

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Solution

The fourth proportional to 340,942.68, 470,406.42 and 195,747.75 is: 270,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,942.68 : 470,406.42 = 195,747.75 : x
  2. Step 2: Convert to fraction form
    340,942.68/470,406.42 = 195,747.75/x
  3. Step 3: Cross multiply
    340,942.68x = 470,406.42 × 195,747.75
  4. Step 4: Simplify right side
    340,942.68x = 92,080,998,300.56
  5. Step 5: Solve for x
    x = 92,080,998,300.56/340,942.68
  6. Step 6: Final answer
    x = 270,077.65

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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.