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Finding the Fourth Proportional to 322,180.98, 444,583.69 and 186,223.74

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Solution

The fourth proportional to 322,180.98, 444,583.69 and 186,223.74 is: 256,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,180.98 : 444,583.69 = 186,223.74 : x
  2. Step 2: Convert to fraction form
    322,180.98/444,583.69 = 186,223.74/x
  3. Step 3: Cross multiply
    322,180.98x = 444,583.69 × 186,223.74
  4. Step 4: Simplify right side
    322,180.98x = 82,792,037,494.80
  5. Step 5: Solve for x
    x = 82,792,037,494.80/322,180.98
  6. Step 6: Final answer
    x = 256,973.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.