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Finding the Fourth Proportional to 414,241.98, 621,469.89 and 189,495.06

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Solution

The fourth proportional to 414,241.98, 621,469.89 and 189,495.06 is: 284,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,241.98 : 621,469.89 = 189,495.06 : x
  2. Step 2: Convert to fraction form
    414,241.98/621,469.89 = 189,495.06/x
  3. Step 3: Cross multiply
    414,241.98x = 621,469.89 × 189,495.06
  4. Step 4: Simplify right side
    414,241.98x = 117,765,474,093.74
  5. Step 5: Solve for x
    x = 117,765,474,093.74/414,241.98
  6. Step 6: Final answer
    x = 284,291.50

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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.