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Finding the Fourth Proportional to 384,757.16, 577,197.77 and 118,517.42

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Solution

The fourth proportional to 384,757.16, 577,197.77 and 118,517.42 is: 177,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,757.16 : 577,197.77 = 118,517.42 : x
  2. Step 2: Convert to fraction form
    384,757.16/577,197.77 = 118,517.42/x
  3. Step 3: Cross multiply
    384,757.16x = 577,197.77 × 118,517.42
  4. Step 4: Simplify right side
    384,757.16x = 68,407,991,380.56
  5. Step 5: Solve for x
    x = 68,407,991,380.56/384,757.16
  6. Step 6: Final answer
    x = 177,795.24

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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.