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Finding the Fourth Proportional to 419,738.53, 579,224.50 and 228,748.09

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Solution

The fourth proportional to 419,738.53, 579,224.50 and 228,748.09 is: 315,664.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,738.53 : 579,224.50 = 228,748.09 : x
  2. Step 2: Convert to fraction form
    419,738.53/579,224.50 = 228,748.09/x
  3. Step 3: Cross multiply
    419,738.53x = 579,224.50 × 228,748.09
  4. Step 4: Simplify right side
    419,738.53x = 132,496,498,056.21
  5. Step 5: Solve for x
    x = 132,496,498,056.21/419,738.53
  6. Step 6: Final answer
    x = 315,664.37

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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.