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Finding the Fourth Proportional to 414,217.50, 620,534.70 and 347,178.66

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Solution

The fourth proportional to 414,217.50, 620,534.70 and 347,178.66 is: 520,104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,217.50 : 620,534.70 = 347,178.66 : x
  2. Step 2: Convert to fraction form
    414,217.50/620,534.70 = 347,178.66/x
  3. Step 3: Cross multiply
    414,217.50x = 620,534.70 × 347,178.66
  4. Step 4: Simplify right side
    414,217.50x = 215,436,405,629.50
  5. Step 5: Solve for x
    x = 215,436,405,629.50/414,217.50
  6. Step 6: Final answer
    x = 520,104.55

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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.