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Finding the Fourth Proportional to 381,464.83, 572,218.51 and 115,218.24

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Solution

The fourth proportional to 381,464.83, 572,218.51 and 115,218.24 is: 172,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,464.83 : 572,218.51 = 115,218.24 : x
  2. Step 2: Convert to fraction form
    381,464.83/572,218.51 = 115,218.24/x
  3. Step 3: Cross multiply
    381,464.83x = 572,218.51 × 115,218.24
  4. Step 4: Simplify right side
    381,464.83x = 65,930,009,617.62
  5. Step 5: Solve for x
    x = 65,930,009,617.62/381,464.83
  6. Step 6: Final answer
    x = 172,833.78

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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.