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Finding the Fourth Proportional to 273,586.24, 410,523.81 and 194,137.62

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Solution

The fourth proportional to 273,586.24, 410,523.81 and 194,137.62 is: 291,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,586.24 : 410,523.81 = 194,137.62 : x
  2. Step 2: Convert to fraction form
    273,586.24/410,523.81 = 194,137.62/x
  3. Step 3: Cross multiply
    273,586.24x = 410,523.81 × 194,137.62
  4. Step 4: Simplify right side
    273,586.24x = 79,698,115,426.73
  5. Step 5: Solve for x
    x = 79,698,115,426.73/273,586.24
  6. Step 6: Final answer
    x = 291,308.93

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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.