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Finding the Fourth Proportional to 547,793.70, 821,812.95 and 192,819.30

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Solution

The fourth proportional to 547,793.70, 821,812.95 and 192,819.30 is: 289,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,793.70 : 821,812.95 = 192,819.30 : x
  2. Step 2: Convert to fraction form
    547,793.70/821,812.95 = 192,819.30/x
  3. Step 3: Cross multiply
    547,793.70x = 821,812.95 × 192,819.30
  4. Step 4: Simplify right side
    547,793.70x = 158,461,397,749.94
  5. Step 5: Solve for x
    x = 158,461,397,749.94/547,793.70
  6. Step 6: Final answer
    x = 289,272.03

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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.