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Finding the Fourth Proportional to 367,458.12, 551,310.12 and 142,826.04

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Solution

The fourth proportional to 367,458.12, 551,310.12 and 142,826.04 is: 214,286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,458.12 : 551,310.12 = 142,826.04 : x
  2. Step 2: Convert to fraction form
    367,458.12/551,310.12 = 142,826.04/x
  3. Step 3: Cross multiply
    367,458.12x = 551,310.12 × 142,826.04
  4. Step 4: Simplify right side
    367,458.12x = 78,741,441,251.52
  5. Step 5: Solve for x
    x = 78,741,441,251.52/367,458.12
  6. Step 6: Final answer
    x = 214,286.85

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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.