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Finding the Fourth Proportional to 550,732.87, 825,912.23 and 190,819.73

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Solution

The fourth proportional to 550,732.87, 825,912.23 and 190,819.73 is: 286,164.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,732.87 : 825,912.23 = 190,819.73 : x
  2. Step 2: Convert to fraction form
    550,732.87/825,912.23 = 190,819.73/x
  3. Step 3: Cross multiply
    550,732.87x = 825,912.23 × 190,819.73
  4. Step 4: Simplify right side
    550,732.87x = 157,600,345,713.42
  5. Step 5: Solve for x
    x = 157,600,345,713.42/550,732.87
  6. Step 6: Final answer
    x = 286,164.77

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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.