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Finding the Fourth Proportional to 367,871.88, 507,673.31 and 206,741.62

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Solution

The fourth proportional to 367,871.88, 507,673.31 and 206,741.62 is: 285,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,871.88 : 507,673.31 = 206,741.62 : x
  2. Step 2: Convert to fraction form
    367,871.88/507,673.31 = 206,741.62/x
  3. Step 3: Cross multiply
    367,871.88x = 507,673.31 × 206,741.62
  4. Step 4: Simplify right side
    367,871.88x = 104,957,202,540.16
  5. Step 5: Solve for x
    x = 104,957,202,540.16/367,871.88
  6. Step 6: Final answer
    x = 285,309.12

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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.