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Finding the Fourth Proportional to 224,784.90, 336,193.20 and 171,640.80

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Solution

The fourth proportional to 224,784.90, 336,193.20 and 171,640.80 is: 256,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,784.90 : 336,193.20 = 171,640.80 : x
  2. Step 2: Convert to fraction form
    224,784.90/336,193.20 = 171,640.80/x
  3. Step 3: Cross multiply
    224,784.90x = 336,193.20 × 171,640.80
  4. Step 4: Simplify right side
    224,784.90x = 57,704,469,802.56
  5. Step 5: Solve for x
    x = 57,704,469,802.56/224,784.90
  6. Step 6: Final answer
    x = 256,709.72

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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.