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Finding the Fourth Proportional to 264,553.30, 396,704.76 and 102,523.24

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Solution

The fourth proportional to 264,553.30, 396,704.76 and 102,523.24 is: 153,736.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,553.30 : 396,704.76 = 102,523.24 : x
  2. Step 2: Convert to fraction form
    264,553.30/396,704.76 = 102,523.24/x
  3. Step 3: Cross multiply
    264,553.30x = 396,704.76 × 102,523.24
  4. Step 4: Simplify right side
    264,553.30x = 40,671,457,318.62
  5. Step 5: Solve for x
    x = 40,671,457,318.62/264,553.30
  6. Step 6: Final answer
    x = 153,736.34

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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.