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Finding the Fourth Proportional to 456,405.44, 629,843.46 and 255,201.44

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Solution

The fourth proportional to 456,405.44, 629,843.46 and 255,201.44 is: 352,180.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,405.44 : 629,843.46 = 255,201.44 : x
  2. Step 2: Convert to fraction form
    456,405.44/629,843.46 = 255,201.44/x
  3. Step 3: Cross multiply
    456,405.44x = 629,843.46 × 255,201.44
  4. Step 4: Simplify right side
    456,405.44x = 160,736,957,966.58
  5. Step 5: Solve for x
    x = 160,736,957,966.58/456,405.44
  6. Step 6: Final answer
    x = 352,180.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.