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Finding the Fourth Proportional to 565,871.24, 848,862.22 and 206,139.80

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Solution

The fourth proportional to 565,871.24, 848,862.22 and 206,139.80 is: 309,229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,871.24 : 848,862.22 = 206,139.80 : x
  2. Step 2: Convert to fraction form
    565,871.24/848,862.22 = 206,139.80/x
  3. Step 3: Cross multiply
    565,871.24x = 848,862.22 × 206,139.80
  4. Step 4: Simplify right side
    565,871.24x = 174,984,288,258.36
  5. Step 5: Solve for x
    x = 174,984,288,258.36/565,871.24
  6. Step 6: Final answer
    x = 309,229.87

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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.