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Finding the Fourth Proportional to 384,671.82, 576,656.18 and 171,327.54

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Solution

The fourth proportional to 384,671.82, 576,656.18 and 171,327.54 is: 256,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,671.82 : 576,656.18 = 171,327.54 : x
  2. Step 2: Convert to fraction form
    384,671.82/576,656.18 = 171,327.54/x
  3. Step 3: Cross multiply
    384,671.82x = 576,656.18 × 171,327.54
  4. Step 4: Simplify right side
    384,671.82x = 98,797,084,745.20
  5. Step 5: Solve for x
    x = 98,797,084,745.20/384,671.82
  6. Step 6: Final answer
    x = 256,834.73

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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.