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Finding the Fourth Proportional to 444,023.10, 664,090.65 and 396,978.30

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Solution

The fourth proportional to 444,023.10, 664,090.65 and 396,978.30 is: 593,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,023.10 : 664,090.65 = 396,978.30 : x
  2. Step 2: Convert to fraction form
    444,023.10/664,090.65 = 396,978.30/x
  3. Step 3: Cross multiply
    444,023.10x = 664,090.65 × 396,978.30
  4. Step 4: Simplify right side
    444,023.10x = 263,629,577,282.90
  5. Step 5: Solve for x
    x = 263,629,577,282.90/444,023.10
  6. Step 6: Final answer
    x = 593,729.42

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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.