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Finding the Fourth Proportional to 797,263, 1,195,898.82 and 206,287

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Solution

The fourth proportional to 797,263, 1,195,898.82 and 206,287 is: 309,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    797,263 : 1,195,898.82 = 206,287 : x
  2. Step 2: Convert to fraction form
    797,263/1,195,898.82 = 206,287/x
  3. Step 3: Cross multiply
    797,263x = 1,195,898.82 × 206,287
  4. Step 4: Simplify right side
    797,263x = 246,698,379,881.34
  5. Step 5: Solve for x
    x = 246,698,379,881.34/797,263
  6. Step 6: Final answer
    x = 309,431.62

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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.