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Finding the Fourth Proportional to 534,664.80, 802,213.20 and 235,202.40

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Solution

The fourth proportional to 534,664.80, 802,213.20 and 235,202.40 is: 352,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,664.80 : 802,213.20 = 235,202.40 : x
  2. Step 2: Convert to fraction form
    534,664.80/802,213.20 = 235,202.40/x
  3. Step 3: Cross multiply
    534,664.80x = 802,213.20 × 235,202.40
  4. Step 4: Simplify right side
    534,664.80x = 188,682,469,951.68
  5. Step 5: Solve for x
    x = 188,682,469,951.68/534,664.80
  6. Step 6: Final answer
    x = 352,898.62

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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.