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Finding the Fourth Proportional to 414,214.50, 620,530.20 and 347,175.66

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Solution

The fourth proportional to 414,214.50, 620,530.20 and 347,175.66 is: 520,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,214.50 : 620,530.20 = 347,175.66 : x
  2. Step 2: Convert to fraction form
    414,214.50/620,530.20 = 347,175.66/x
  3. Step 3: Cross multiply
    414,214.50x = 620,530.20 × 347,175.66
  4. Step 4: Simplify right side
    414,214.50x = 215,432,981,734.93
  5. Step 5: Solve for x
    x = 215,432,981,734.93/414,214.50
  6. Step 6: Final answer
    x = 520,100.05

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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.