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Finding the Fourth Proportional to 324,663.04, 448,320 and 204,013.44

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Solution

The fourth proportional to 324,663.04, 448,320 and 204,013.44 is: 281,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,663.04 : 448,320 = 204,013.44 : x
  2. Step 2: Convert to fraction form
    324,663.04/448,320 = 204,013.44/x
  3. Step 3: Cross multiply
    324,663.04x = 448,320 × 204,013.44
  4. Step 4: Simplify right side
    324,663.04x = 91,463,305,420.80
  5. Step 5: Solve for x
    x = 91,463,305,420.80/324,663.04
  6. Step 6: Final answer
    x = 281,717.64

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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.