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Finding the Fourth Proportional to 414,563.47, 621,809.36 and 252,415.64

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Solution

The fourth proportional to 414,563.47, 621,809.36 and 252,415.64 is: 378,601.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,563.47 : 621,809.36 = 252,415.64 : x
  2. Step 2: Convert to fraction form
    414,563.47/621,809.36 = 252,415.64/x
  3. Step 3: Cross multiply
    414,563.47x = 621,809.36 × 252,415.64
  4. Step 4: Simplify right side
    414,563.47x = 156,954,408,801.39
  5. Step 5: Solve for x
    x = 156,954,408,801.39/414,563.47
  6. Step 6: Final answer
    x = 378,601.64

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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.