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Finding the Fourth Proportional to 530,812.46, 796,213.83 and 215,194.34

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Solution

The fourth proportional to 530,812.46, 796,213.83 and 215,194.34 is: 322,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,812.46 : 796,213.83 = 215,194.34 : x
  2. Step 2: Convert to fraction form
    530,812.46/796,213.83 = 215,194.34/x
  3. Step 3: Cross multiply
    530,812.46x = 796,213.83 × 215,194.34
  4. Step 4: Simplify right side
    530,812.46x = 171,340,709,645.72
  5. Step 5: Solve for x
    x = 171,340,709,645.72/530,812.46
  6. Step 6: Final answer
    x = 322,789.54

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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.