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Finding the Fourth Proportional to 367,753.80, 507,469.14 and 206,596.20

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Solution

The fourth proportional to 367,753.80, 507,469.14 and 206,596.20 is: 285,085.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,753.80 : 507,469.14 = 206,596.20 : x
  2. Step 2: Convert to fraction form
    367,753.80/507,469.14 = 206,596.20/x
  3. Step 3: Cross multiply
    367,753.80x = 507,469.14 × 206,596.20
  4. Step 4: Simplify right side
    367,753.80x = 104,841,195,941.27
  5. Step 5: Solve for x
    x = 104,841,195,941.27/367,753.80
  6. Step 6: Final answer
    x = 285,085.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.