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Finding the Fourth Proportional to 325,343.25, 448,909.88 and 204,414.48

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Solution

The fourth proportional to 325,343.25, 448,909.88 and 204,414.48 is: 282,051.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,343.25 : 448,909.88 = 204,414.48 : x
  2. Step 2: Convert to fraction form
    325,343.25/448,909.88 = 204,414.48/x
  3. Step 3: Cross multiply
    325,343.25x = 448,909.88 × 204,414.48
  4. Step 4: Simplify right side
    325,343.25x = 91,763,678,664.99
  5. Step 5: Solve for x
    x = 91,763,678,664.99/325,343.25
  6. Step 6: Final answer
    x = 282,051.89

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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.