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Finding the Fourth Proportional to 321,322.80, 481,984.20 and 203,224.80

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Solution

The fourth proportional to 321,322.80, 481,984.20 and 203,224.80 is: 304,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,322.80 : 481,984.20 = 203,224.80 : x
  2. Step 2: Convert to fraction form
    321,322.80/481,984.20 = 203,224.80/x
  3. Step 3: Cross multiply
    321,322.80x = 481,984.20 × 203,224.80
  4. Step 4: Simplify right side
    321,322.80x = 97,951,142,648.16
  5. Step 5: Solve for x
    x = 97,951,142,648.16/321,322.80
  6. Step 6: Final answer
    x = 304,837.20

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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.