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Finding the Fourth Proportional to 414,408.83, 621,801.90 and 201,061.58

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Solution

The fourth proportional to 414,408.83, 621,801.90 and 201,061.58 is: 301,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,408.83 : 621,801.90 = 201,061.58 : x
  2. Step 2: Convert to fraction form
    414,408.83/621,801.90 = 201,061.58/x
  3. Step 3: Cross multiply
    414,408.83x = 621,801.90 × 201,061.58
  4. Step 4: Simplify right side
    414,408.83x = 125,020,469,351.99
  5. Step 5: Solve for x
    x = 125,020,469,351.99/414,408.83
  6. Step 6: Final answer
    x = 301,683.90

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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.