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Finding the Fourth Proportional to 512,838.72, 769,290.89 and 197,295.62

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Solution

The fourth proportional to 512,838.72, 769,290.89 and 197,295.62 is: 295,956.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,838.72 : 769,290.89 = 197,295.62 : x
  2. Step 2: Convert to fraction form
    512,838.72/769,290.89 = 197,295.62/x
  3. Step 3: Cross multiply
    512,838.72x = 769,290.89 × 197,295.62
  4. Step 4: Simplify right side
    512,838.72x = 151,777,718,269.97
  5. Step 5: Solve for x
    x = 151,777,718,269.97/512,838.72
  6. Step 6: Final answer
    x = 295,956.04

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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.