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Finding the Fourth Proportional to 394,992.56, 545,089.14 and 213,703.88

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Solution

The fourth proportional to 394,992.56, 545,089.14 and 213,703.88 is: 294,911.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,992.56 : 545,089.14 = 213,703.88 : x
  2. Step 2: Convert to fraction form
    394,992.56/545,089.14 = 213,703.88/x
  3. Step 3: Cross multiply
    394,992.56x = 545,089.14 × 213,703.88
  4. Step 4: Simplify right side
    394,992.56x = 116,487,664,163.86
  5. Step 5: Solve for x
    x = 116,487,664,163.86/394,992.56
  6. Step 6: Final answer
    x = 294,911.03

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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.