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Finding the Fourth Proportional to 565,589, 848,383.50 and 171,605

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Solution

The fourth proportional to 565,589, 848,383.50 and 171,605 is: 257,407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,589 : 848,383.50 = 171,605 : x
  2. Step 2: Convert to fraction form
    565,589/848,383.50 = 171,605/x
  3. Step 3: Cross multiply
    565,589x = 848,383.50 × 171,605
  4. Step 4: Simplify right side
    565,589x = 145,586,850,517.50
  5. Step 5: Solve for x
    x = 145,586,850,517.50/565,589
  6. Step 6: Final answer
    x = 257,407.50

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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.