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Finding the Fourth Proportional to 321,822.20, 482,963.70 and 181,431.80

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Solution

The fourth proportional to 321,822.20, 482,963.70 and 181,431.80 is: 272,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,822.20 : 482,963.70 = 181,431.80 : x
  2. Step 2: Convert to fraction form
    321,822.20/482,963.70 = 181,431.80/x
  3. Step 3: Cross multiply
    321,822.20x = 482,963.70 × 181,431.80
  4. Step 4: Simplify right side
    321,822.20x = 87,624,973,425.66
  5. Step 5: Solve for x
    x = 87,624,973,425.66/321,822.20
  6. Step 6: Final answer
    x = 272,277.59

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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.