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Finding the Fourth Proportional to 413,771.86, 619,796.66 and 263,266.61

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Solution

The fourth proportional to 413,771.86, 619,796.66 and 263,266.61 is: 394,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771.86 : 619,796.66 = 263,266.61 : x
  2. Step 2: Convert to fraction form
    413,771.86/619,796.66 = 263,266.61/x
  3. Step 3: Cross multiply
    413,771.86x = 619,796.66 × 263,266.61
  4. Step 4: Simplify right side
    413,771.86x = 163,171,765,800.68
  5. Step 5: Solve for x
    x = 163,171,765,800.68/413,771.86
  6. Step 6: Final answer
    x = 394,352.02

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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.