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Finding the Fourth Proportional to 565,872.24, 848,863.72 and 206,140.80

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Solution

The fourth proportional to 565,872.24, 848,863.72 and 206,140.80 is: 309,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,872.24 : 848,863.72 = 206,140.80 : x
  2. Step 2: Convert to fraction form
    565,872.24/848,863.72 = 206,140.80/x
  3. Step 3: Cross multiply
    565,872.24x = 848,863.72 × 206,140.80
  4. Step 4: Simplify right side
    565,872.24x = 174,985,446,331.78
  5. Step 5: Solve for x
    x = 174,985,446,331.78/565,872.24
  6. Step 6: Final answer
    x = 309,231.37

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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.