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Finding the Fourth Proportional to 363,100.70, 543,486.48 and 194,198.69

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Solution

The fourth proportional to 363,100.70, 543,486.48 and 194,198.69 is: 290,675.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,100.70 : 543,486.48 = 194,198.69 : x
  2. Step 2: Convert to fraction form
    363,100.70/543,486.48 = 194,198.69/x
  3. Step 3: Cross multiply
    363,100.70x = 543,486.48 × 194,198.69
  4. Step 4: Simplify right side
    363,100.70x = 105,544,361,477.72
  5. Step 5: Solve for x
    x = 105,544,361,477.72/363,100.70
  6. Step 6: Final answer
    x = 290,675.18

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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.