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Finding the Fourth Proportional to 367,418.71, 507,067.11 and 206,284.33

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Solution

The fourth proportional to 367,418.71, 507,067.11 and 206,284.33 is: 284,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,418.71 : 507,067.11 = 206,284.33 : x
  2. Step 2: Convert to fraction form
    367,418.71/507,067.11 = 206,284.33/x
  3. Step 3: Cross multiply
    367,418.71x = 507,067.11 × 206,284.33
  4. Step 4: Simplify right side
    367,418.71x = 104,599,995,484.63
  5. Step 5: Solve for x
    x = 104,599,995,484.63/367,418.71
  6. Step 6: Final answer
    x = 284,688.81

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1.5x scale

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.