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Finding the Fourth Proportional to 389,675.20, 584,571.20 and 165,035.20

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Solution

The fourth proportional to 389,675.20, 584,571.20 and 165,035.20 is: 247,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,675.20 : 584,571.20 = 165,035.20 : x
  2. Step 2: Convert to fraction form
    389,675.20/584,571.20 = 165,035.20/x
  3. Step 3: Cross multiply
    389,675.20x = 584,571.20 × 165,035.20
  4. Step 4: Simplify right side
    389,675.20x = 96,474,824,906.24
  5. Step 5: Solve for x
    x = 96,474,824,906.24/389,675.20
  6. Step 6: Final answer
    x = 247,577.53

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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.