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Finding the Fourth Proportional to 419,959.60, 629,939.40 and 242,812.60

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Solution

The fourth proportional to 419,959.60, 629,939.40 and 242,812.60 is: 364,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,959.60 : 629,939.40 = 242,812.60 : x
  2. Step 2: Convert to fraction form
    419,959.60/629,939.40 = 242,812.60/x
  3. Step 3: Cross multiply
    419,959.60x = 629,939.40 × 242,812.60
  4. Step 4: Simplify right side
    419,959.60x = 152,957,223,556.44
  5. Step 5: Solve for x
    x = 152,957,223,556.44/419,959.60
  6. Step 6: Final answer
    x = 364,218.90

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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.