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Finding the Fourth Proportional to 367,486.43, 507,100.16 and 206,328.83

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Solution

The fourth proportional to 367,486.43, 507,100.16 and 206,328.83 is: 284,716.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,486.43 : 507,100.16 = 206,328.83 : x
  2. Step 2: Convert to fraction form
    367,486.43/507,100.16 = 206,328.83/x
  3. Step 3: Cross multiply
    367,486.43x = 507,100.16 × 206,328.83
  4. Step 4: Simplify right side
    367,486.43x = 104,629,380,685.93
  5. Step 5: Solve for x
    x = 104,629,380,685.93/367,486.43
  6. Step 6: Final answer
    x = 284,716.31

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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.