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Finding the Fourth Proportional to 365,659.21, 504,610.86 and 204,517

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Solution

The fourth proportional to 365,659.21, 504,610.86 and 204,517 is: 282,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,659.21 : 504,610.86 = 204,517 : x
  2. Step 2: Convert to fraction form
    365,659.21/504,610.86 = 204,517/x
  3. Step 3: Cross multiply
    365,659.21x = 504,610.86 × 204,517
  4. Step 4: Simplify right side
    365,659.21x = 103,201,499,254.62
  5. Step 5: Solve for x
    x = 103,201,499,254.62/365,659.21
  6. Step 6: Final answer
    x = 282,234.10

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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.