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Finding the Fourth Proportional to 326,067.94, 449,782.68 and 205,017.40

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Solution

The fourth proportional to 326,067.94, 449,782.68 and 205,017.40 is: 282,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,067.94 : 449,782.68 = 205,017.40 : x
  2. Step 2: Convert to fraction form
    326,067.94/449,782.68 = 205,017.40/x
  3. Step 3: Cross multiply
    326,067.94x = 449,782.68 × 205,017.40
  4. Step 4: Simplify right side
    326,067.94x = 92,213,275,618.63
  5. Step 5: Solve for x
    x = 92,213,275,618.63/326,067.94
  6. Step 6: Final answer
    x = 282,803.87

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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.