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Finding the Fourth Proportional to 322,243.95, 482,629.64 and 153,882.21

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Solution

The fourth proportional to 322,243.95, 482,629.64 and 153,882.21 is: 230,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,243.95 : 482,629.64 = 153,882.21 : x
  2. Step 2: Convert to fraction form
    322,243.95/482,629.64 = 153,882.21/x
  3. Step 3: Cross multiply
    322,243.95x = 482,629.64 × 153,882.21
  4. Step 4: Simplify right side
    322,243.95x = 74,268,114,845.29
  5. Step 5: Solve for x
    x = 74,268,114,845.29/322,243.95
  6. Step 6: Final answer
    x = 230,471.71

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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.