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Finding the Fourth Proportional to 414,604.01, 621,909.50 and 115,107.95

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Solution

The fourth proportional to 414,604.01, 621,909.50 and 115,107.95 is: 172,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,604.01 : 621,909.50 = 115,107.95 : x
  2. Step 2: Convert to fraction form
    414,604.01/621,909.50 = 115,107.95/x
  3. Step 3: Cross multiply
    414,604.01x = 621,909.50 × 115,107.95
  4. Step 4: Simplify right side
    414,604.01x = 71,586,724,520.98
  5. Step 5: Solve for x
    x = 71,586,724,520.98/414,604.01
  6. Step 6: Final answer
    x = 172,662.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.