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Finding the Fourth Proportional to 367,847.67, 507,573.30 and 206,671.83

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Solution

The fourth proportional to 367,847.67, 507,573.30 and 206,671.83 is: 285,175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,847.67 : 507,573.30 = 206,671.83 : x
  2. Step 2: Convert to fraction form
    367,847.67/507,573.30 = 206,671.83/x
  3. Step 3: Cross multiply
    367,847.67x = 507,573.30 × 206,671.83
  4. Step 4: Simplify right side
    367,847.67x = 104,901,102,770.14
  5. Step 5: Solve for x
    x = 104,901,102,770.14/367,847.67
  6. Step 6: Final answer
    x = 285,175.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.