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Finding the Fourth Proportional to 367,876.36, 507,682.74 and 206,734.60

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Solution

The fourth proportional to 367,876.36, 507,682.74 and 206,734.60 is: 285,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,876.36 : 507,682.74 = 206,734.60 : x
  2. Step 2: Convert to fraction form
    367,876.36/507,682.74 = 206,734.60/x
  3. Step 3: Cross multiply
    367,876.36x = 507,682.74 × 206,734.60
  4. Step 4: Simplify right side
    367,876.36x = 104,955,588,180.80
  5. Step 5: Solve for x
    x = 104,955,588,180.80/367,876.36
  6. Step 6: Final answer
    x = 285,301.26

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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.