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Finding the Fourth Proportional to 242,651.20, 363,976.80 and 231,764.80

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Solution

The fourth proportional to 242,651.20, 363,976.80 and 231,764.80 is: 347,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,651.20 : 363,976.80 = 231,764.80 : x
  2. Step 2: Convert to fraction form
    242,651.20/363,976.80 = 231,764.80/x
  3. Step 3: Cross multiply
    242,651.20x = 363,976.80 × 231,764.80
  4. Step 4: Simplify right side
    242,651.20x = 84,357,010,256.64
  5. Step 5: Solve for x
    x = 84,357,010,256.64/242,651.20
  6. Step 6: Final answer
    x = 347,647.20

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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.