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Finding the Fourth Proportional to 224,274.70, 308,869.23 and 219,375.82

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Solution

The fourth proportional to 224,274.70, 308,869.23 and 219,375.82 is: 302,122.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,274.70 : 308,869.23 = 219,375.82 : x
  2. Step 2: Convert to fraction form
    224,274.70/308,869.23 = 219,375.82/x
  3. Step 3: Cross multiply
    224,274.70x = 308,869.23 × 219,375.82
  4. Step 4: Simplify right side
    224,274.70x = 67,758,440,604.02
  5. Step 5: Solve for x
    x = 67,758,440,604.02/224,274.70
  6. Step 6: Final answer
    x = 302,122.53

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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.