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Finding the Fourth Proportional to 414,806.46, 622,580.55 and 212,540.55

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Solution

The fourth proportional to 414,806.46, 622,580.55 and 212,540.55 is: 319,000.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,806.46 : 622,580.55 = 212,540.55 : x
  2. Step 2: Convert to fraction form
    414,806.46/622,580.55 = 212,540.55/x
  3. Step 3: Cross multiply
    414,806.46x = 622,580.55 × 212,540.55
  4. Step 4: Simplify right side
    414,806.46x = 132,323,612,516.30
  5. Step 5: Solve for x
    x = 132,323,612,516.30/414,806.46
  6. Step 6: Final answer
    x = 319,000.85

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Why These Related Problems?

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