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Finding the Fourth Proportional to 322,076.36, 482,860.46 and 203,497.80

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Solution

The fourth proportional to 322,076.36, 482,860.46 and 203,497.80 is: 305,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,076.36 : 482,860.46 = 203,497.80 : x
  2. Step 2: Convert to fraction form
    322,076.36/482,860.46 = 203,497.80/x
  3. Step 3: Cross multiply
    322,076.36x = 482,860.46 × 203,497.80
  4. Step 4: Simplify right side
    322,076.36x = 98,261,041,316.99
  5. Step 5: Solve for x
    x = 98,261,041,316.99/322,076.36
  6. Step 6: Final answer
    x = 305,086.16

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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.