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Finding the Fourth Proportional to 794,190, 1,191,285 and 203,214

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Solution

The fourth proportional to 794,190, 1,191,285 and 203,214 is: 304,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    794,190 : 1,191,285 = 203,214 : x
  2. Step 2: Convert to fraction form
    794,190/1,191,285 = 203,214/x
  3. Step 3: Cross multiply
    794,190x = 1,191,285 × 203,214
  4. Step 4: Simplify right side
    794,190x = 242,085,789,990
  5. Step 5: Solve for x
    x = 242,085,789,990/794,190
  6. Step 6: Final answer
    x = 304,821

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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.