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Finding the Fourth Proportional to 326,735.70, 490,103.55 and 214,761.30

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Solution

The fourth proportional to 326,735.70, 490,103.55 and 214,761.30 is: 322,141.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,735.70 : 490,103.55 = 214,761.30 : x
  2. Step 2: Convert to fraction form
    326,735.70/490,103.55 = 214,761.30/x
  3. Step 3: Cross multiply
    326,735.70x = 490,103.55 × 214,761.30
  4. Step 4: Simplify right side
    326,735.70x = 105,255,275,532.62
  5. Step 5: Solve for x
    x = 105,255,275,532.62/326,735.70
  6. Step 6: Final answer
    x = 322,141.95

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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.