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Finding the Fourth Proportional to 397,692.52, 548,815.74 and 218,844.52

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Solution

The fourth proportional to 397,692.52, 548,815.74 and 218,844.52 is: 302,005.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,692.52 : 548,815.74 = 218,844.52 : x
  2. Step 2: Convert to fraction form
    397,692.52/548,815.74 = 218,844.52/x
  3. Step 3: Cross multiply
    397,692.52x = 548,815.74 × 218,844.52
  4. Step 4: Simplify right side
    397,692.52x = 120,105,317,188.75
  5. Step 5: Solve for x
    x = 120,105,317,188.75/397,692.52
  6. Step 6: Final answer
    x = 302,005.47

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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.