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Finding the Fourth Proportional to 322,084.98, 482,977.47 and 119,540.03

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Solution

The fourth proportional to 322,084.98, 482,977.47 and 119,540.03 is: 179,254.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,084.98 : 482,977.47 = 119,540.03 : x
  2. Step 2: Convert to fraction form
    322,084.98/482,977.47 = 119,540.03/x
  3. Step 3: Cross multiply
    322,084.98x = 482,977.47 × 119,540.03
  4. Step 4: Simplify right side
    322,084.98x = 57,735,138,838.24
  5. Step 5: Solve for x
    x = 57,735,138,838.24/322,084.98
  6. Step 6: Final answer
    x = 179,254.37

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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.