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Finding the Fourth Proportional to 367,543.11, 507,209.52 and 206,398.26

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Solution

The fourth proportional to 367,543.11, 507,209.52 and 206,398.26 is: 284,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,543.11 : 507,209.52 = 206,398.26 : x
  2. Step 2: Convert to fraction form
    367,543.11/507,209.52 = 206,398.26/x
  3. Step 3: Cross multiply
    367,543.11x = 507,209.52 × 206,398.26
  4. Step 4: Simplify right side
    367,543.11x = 104,687,162,383.44
  5. Step 5: Solve for x
    x = 104,687,162,383.44/367,543.11
  6. Step 6: Final answer
    x = 284,829.61

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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.