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Finding the Fourth Proportional to 414,180.96, 620,459.50 and 214,632.24

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Solution

The fourth proportional to 414,180.96, 620,459.50 and 214,632.24 is: 321,527.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,180.96 : 620,459.50 = 214,632.24 : x
  2. Step 2: Convert to fraction form
    414,180.96/620,459.50 = 214,632.24/x
  3. Step 3: Cross multiply
    414,180.96x = 620,459.50 × 214,632.24
  4. Step 4: Simplify right side
    414,180.96x = 133,170,612,314.28
  5. Step 5: Solve for x
    x = 133,170,612,314.28/414,180.96
  6. Step 6: Final answer
    x = 321,527.61

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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.