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Finding the Fourth Proportional to 367,540.82, 507,231.54 and 204,217.04

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Solution

The fourth proportional to 367,540.82, 507,231.54 and 204,217.04 is: 281,833.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,540.82 : 507,231.54 = 204,217.04 : x
  2. Step 2: Convert to fraction form
    367,540.82/507,231.54 = 204,217.04/x
  3. Step 3: Cross multiply
    367,540.82x = 507,231.54 × 204,217.04
  4. Step 4: Simplify right side
    367,540.82x = 103,585,323,693.44
  5. Step 5: Solve for x
    x = 103,585,323,693.44/367,540.82
  6. Step 6: Final answer
    x = 281,833.52

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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.