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Finding the Fourth Proportional to 329,222.87, 493,453.09 and 151,356.59

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Solution

The fourth proportional to 329,222.87, 493,453.09 and 151,356.59 is: 226,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,222.87 : 493,453.09 = 151,356.59 : x
  2. Step 2: Convert to fraction form
    329,222.87/493,453.09 = 151,356.59/x
  3. Step 3: Cross multiply
    329,222.87x = 493,453.09 × 151,356.59
  4. Step 4: Simplify right side
    329,222.87x = 74,687,377,027.36
  5. Step 5: Solve for x
    x = 74,687,377,027.36/329,222.87
  6. Step 6: Final answer
    x = 226,859.63

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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.