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Finding the Fourth Proportional to 384,725.76, 576,906.96 and 224,847.54

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Solution

The fourth proportional to 384,725.76, 576,906.96 and 224,847.54 is: 337,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,725.76 : 576,906.96 = 224,847.54 : x
  2. Step 2: Convert to fraction form
    384,725.76/576,906.96 = 224,847.54/x
  3. Step 3: Cross multiply
    384,725.76x = 576,906.96 × 224,847.54
  4. Step 4: Simplify right side
    384,725.76x = 129,716,110,764.88
  5. Step 5: Solve for x
    x = 129,716,110,764.88/384,725.76
  6. Step 6: Final answer
    x = 337,165.13

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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.