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Finding the Fourth Proportional to 522,296.20, 783,514.01 and 206,679.30

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Solution

The fourth proportional to 522,296.20, 783,514.01 and 206,679.30 is: 310,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,296.20 : 783,514.01 = 206,679.30 : x
  2. Step 2: Convert to fraction form
    522,296.20/783,514.01 = 206,679.30/x
  3. Step 3: Cross multiply
    522,296.20x = 783,514.01 × 206,679.30
  4. Step 4: Simplify right side
    522,296.20x = 161,936,127,126.99
  5. Step 5: Solve for x
    x = 161,936,127,126.99/522,296.20
  6. Step 6: Final answer
    x = 310,046.54

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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.