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Finding the Fourth Proportional to 547,193.04, 820,871.58 and 192,144.54

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Solution

The fourth proportional to 547,193.04, 820,871.58 and 192,144.54 is: 288,245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,193.04 : 820,871.58 = 192,144.54 : x
  2. Step 2: Convert to fraction form
    547,193.04/820,871.58 = 192,144.54/x
  3. Step 3: Cross multiply
    547,193.04x = 820,871.58 × 192,144.54
  4. Step 4: Simplify right side
    547,193.04x = 157,725,992,138.17
  5. Step 5: Solve for x
    x = 157,725,992,138.17/547,193.04
  6. Step 6: Final answer
    x = 288,245.61

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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.