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Finding the Fourth Proportional to 264,933.60, 397,400.40 and 171,544.80

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Solution

The fourth proportional to 264,933.60, 397,400.40 and 171,544.80 is: 257,317.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,933.60 : 397,400.40 = 171,544.80 : x
  2. Step 2: Convert to fraction form
    264,933.60/397,400.40 = 171,544.80/x
  3. Step 3: Cross multiply
    264,933.60x = 397,400.40 × 171,544.80
  4. Step 4: Simplify right side
    264,933.60x = 68,171,972,137.92
  5. Step 5: Solve for x
    x = 68,171,972,137.92/264,933.60
  6. Step 6: Final answer
    x = 257,317.20

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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.