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Finding the Fourth Proportional to 322,085.98, 482,978.97 and 119,541.03

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Solution

The fourth proportional to 322,085.98, 482,978.97 and 119,541.03 is: 179,255.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,085.98 : 482,978.97 = 119,541.03 : x
  2. Step 2: Convert to fraction form
    322,085.98/482,978.97 = 119,541.03/x
  3. Step 3: Cross multiply
    322,085.98x = 482,978.97 × 119,541.03
  4. Step 4: Simplify right side
    322,085.98x = 57,735,803,542.14
  5. Step 5: Solve for x
    x = 57,735,803,542.14/322,085.98
  6. Step 6: Final answer
    x = 179,255.87

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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.