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Finding the Fourth Proportional to 367,419.33, 507,067.97 and 206,284.95

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Solution

The fourth proportional to 367,419.33, 507,067.97 and 206,284.95 is: 284,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,419.33 : 507,067.97 = 206,284.95 : x
  2. Step 2: Convert to fraction form
    367,419.33/507,067.97 = 206,284.95/x
  3. Step 3: Cross multiply
    367,419.33x = 507,067.97 × 206,284.95
  4. Step 4: Simplify right side
    367,419.33x = 104,600,489,806.63
  5. Step 5: Solve for x
    x = 104,600,489,806.63/367,419.33
  6. Step 6: Final answer
    x = 284,689.68

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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.