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Finding the Fourth Proportional to 493,199.28, 739,857.24 and 156,255.48

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Solution

The fourth proportional to 493,199.28, 739,857.24 and 156,255.48 is: 234,401.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,199.28 : 739,857.24 = 156,255.48 : x
  2. Step 2: Convert to fraction form
    493,199.28/739,857.24 = 156,255.48/x
  3. Step 3: Cross multiply
    493,199.28x = 739,857.24 × 156,255.48
  4. Step 4: Simplify right side
    493,199.28x = 115,606,748,167.68
  5. Step 5: Solve for x
    x = 115,606,748,167.68/493,199.28
  6. Step 6: Final answer
    x = 234,401.70

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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.