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Finding the Fourth Proportional to 367,687.76, 507,456.50 and 206,542.76

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Solution

The fourth proportional to 367,687.76, 507,456.50 and 206,542.76 is: 285,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,687.76 : 507,456.50 = 206,542.76 : x
  2. Step 2: Convert to fraction form
    367,687.76/507,456.50 = 206,542.76/x
  3. Step 3: Cross multiply
    367,687.76x = 507,456.50 × 206,542.76
  4. Step 4: Simplify right side
    367,687.76x = 104,811,462,519.94
  5. Step 5: Solve for x
    x = 104,811,462,519.94/367,687.76
  6. Step 6: Final answer
    x = 285,055.62

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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.