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Finding the Fourth Proportional to 414,469.98, 621,704.92 and 114,950.55

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Solution

The fourth proportional to 414,469.98, 621,704.92 and 114,950.55 is: 172,425.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,469.98 : 621,704.92 = 114,950.55 : x
  2. Step 2: Convert to fraction form
    414,469.98/621,704.92 = 114,950.55/x
  3. Step 3: Cross multiply
    414,469.98x = 621,704.92 × 114,950.55
  4. Step 4: Simplify right side
    414,469.98x = 71,465,318,808.43
  5. Step 5: Solve for x
    x = 71,465,318,808.43/414,469.98
  6. Step 6: Final answer
    x = 172,425.80

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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.