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Finding the Fourth Proportional to 367,761.80, 507,480.16 and 206,604.20

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Solution

The fourth proportional to 367,761.80, 507,480.16 and 206,604.20 is: 285,096.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,761.80 : 507,480.16 = 206,604.20 : x
  2. Step 2: Convert to fraction form
    367,761.80/507,480.16 = 206,604.20/x
  3. Step 3: Cross multiply
    367,761.80x = 507,480.16 × 206,604.20
  4. Step 4: Simplify right side
    367,761.80x = 104,847,532,472.67
  5. Step 5: Solve for x
    x = 104,847,532,472.67/367,761.80
  6. Step 6: Final answer
    x = 285,096.31

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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.