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Finding the Fourth Proportional to 382,999.32, 575,008.02 and 327,198.06

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Solution

The fourth proportional to 382,999.32, 575,008.02 and 327,198.06 is: 491,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,999.32 : 575,008.02 = 327,198.06 : x
  2. Step 2: Convert to fraction form
    382,999.32/575,008.02 = 327,198.06/x
  3. Step 3: Cross multiply
    382,999.32x = 575,008.02 × 327,198.06
  4. Step 4: Simplify right side
    382,999.32x = 188,141,508,628.44
  5. Step 5: Solve for x
    x = 188,141,508,628.44/382,999.32
  6. Step 6: Final answer
    x = 491,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.