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Finding the Fourth Proportional to 365,876.24, 548,912.88 and 188,286.44

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Solution

The fourth proportional to 365,876.24, 548,912.88 and 188,286.44 is: 282,480.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,876.24 : 548,912.88 = 188,286.44 : x
  2. Step 2: Convert to fraction form
    365,876.24/548,912.88 = 188,286.44/x
  3. Step 3: Cross multiply
    365,876.24x = 548,912.88 × 188,286.44
  4. Step 4: Simplify right side
    365,876.24x = 103,352,852,045.35
  5. Step 5: Solve for x
    x = 103,352,852,045.35/365,876.24
  6. Step 6: Final answer
    x = 282,480.36

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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.