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Finding the Fourth Proportional to 367,518.06, 507,128.85 and 206,372.61

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Solution

The fourth proportional to 367,518.06, 507,128.85 and 206,372.61 is: 284,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,518.06 : 507,128.85 = 206,372.61 : x
  2. Step 2: Convert to fraction form
    367,518.06/507,128.85 = 206,372.61/x
  3. Step 3: Cross multiply
    367,518.06x = 507,128.85 × 206,372.61
  4. Step 4: Simplify right side
    367,518.06x = 104,657,504,380.80
  5. Step 5: Solve for x
    x = 104,657,504,380.80/367,518.06
  6. Step 6: Final answer
    x = 284,768.33

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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.