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Finding the Fourth Proportional to 414,184.86, 620,883.60 and 264,003.54

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Solution

The fourth proportional to 414,184.86, 620,883.60 and 264,003.54 is: 395,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,184.86 : 620,883.60 = 264,003.54 : x
  2. Step 2: Convert to fraction form
    414,184.86/620,883.60 = 264,003.54/x
  3. Step 3: Cross multiply
    414,184.86x = 620,883.60 × 264,003.54
  4. Step 4: Simplify right side
    414,184.86x = 163,915,468,327.94
  5. Step 5: Solve for x
    x = 163,915,468,327.94/414,184.86
  6. Step 6: Final answer
    x = 395,754.37

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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.