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Finding the Fourth Proportional to 383,904.93, 575,857.27 and 206,167.44

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Solution

The fourth proportional to 383,904.93, 575,857.27 and 206,167.44 is: 309,251.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,904.93 : 575,857.27 = 206,167.44 : x
  2. Step 2: Convert to fraction form
    383,904.93/575,857.27 = 206,167.44/x
  3. Step 3: Cross multiply
    383,904.93x = 575,857.27 × 206,167.44
  4. Step 4: Simplify right side
    383,904.93x = 118,723,019,161.29
  5. Step 5: Solve for x
    x = 118,723,019,161.29/383,904.93
  6. Step 6: Final answer
    x = 309,251.09

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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.