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Finding the Fourth Proportional to 367,797.51, 507,573.74 and 206,649.43

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Solution

The fourth proportional to 367,797.51, 507,573.74 and 206,649.43 is: 285,183.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,797.51 : 507,573.74 = 206,649.43 : x
  2. Step 2: Convert to fraction form
    367,797.51/507,573.74 = 206,649.43/x
  3. Step 3: Cross multiply
    367,797.51x = 507,573.74 × 206,649.43
  4. Step 4: Simplify right side
    367,797.51x = 104,889,823,301.66
  5. Step 5: Solve for x
    x = 104,889,823,301.66/367,797.51
  6. Step 6: Final answer
    x = 285,183.61

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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.