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Finding the Fourth Proportional to 367,715.60, 551,267.20 and 143,023.24

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Solution

The fourth proportional to 367,715.60, 551,267.20 and 143,023.24 is: 214,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,715.60 : 551,267.20 = 143,023.24 : x
  2. Step 2: Convert to fraction form
    367,715.60/551,267.20 = 143,023.24/x
  3. Step 3: Cross multiply
    367,715.60x = 551,267.20 × 143,023.24
  4. Step 4: Simplify right side
    367,715.60x = 78,844,021,049.73
  5. Step 5: Solve for x
    x = 78,844,021,049.73/367,715.60
  6. Step 6: Final answer
    x = 214,415.76

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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.