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Finding the Fourth Proportional to 365,766.12, 504,733.50 and 204,593.58

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Solution

The fourth proportional to 365,766.12, 504,733.50 and 204,593.58 is: 282,325.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,766.12 : 504,733.50 = 204,593.58 : x
  2. Step 2: Convert to fraction form
    365,766.12/504,733.50 = 204,593.58/x
  3. Step 3: Cross multiply
    365,766.12x = 504,733.50 × 204,593.58
  4. Step 4: Simplify right side
    365,766.12x = 103,265,233,710.93
  5. Step 5: Solve for x
    x = 103,265,233,710.93/365,766.12
  6. Step 6: Final answer
    x = 282,325.86

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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.