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Finding the Fourth Proportional to 320,974.71, 481,542.02 and 96,339.30

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Solution

The fourth proportional to 320,974.71, 481,542.02 and 96,339.30 is: 144,532.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,974.71 : 481,542.02 = 96,339.30 : x
  2. Step 2: Convert to fraction form
    320,974.71/481,542.02 = 96,339.30/x
  3. Step 3: Cross multiply
    320,974.71x = 481,542.02 × 96,339.30
  4. Step 4: Simplify right side
    320,974.71x = 46,391,422,993.48
  5. Step 5: Solve for x
    x = 46,391,422,993.48/320,974.71
  6. Step 6: Final answer
    x = 144,532.95

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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.