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Finding the Fourth Proportional to 414,924.30, 622,386.45 and 134,469.90

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Solution

The fourth proportional to 414,924.30, 622,386.45 and 134,469.90 is: 201,704.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,924.30 : 622,386.45 = 134,469.90 : x
  2. Step 2: Convert to fraction form
    414,924.30/622,386.45 = 134,469.90/x
  3. Step 3: Cross multiply
    414,924.30x = 622,386.45 × 134,469.90
  4. Step 4: Simplify right side
    414,924.30x = 83,692,243,692.86
  5. Step 5: Solve for x
    x = 83,692,243,692.86/414,924.30
  6. Step 6: Final answer
    x = 201,704.85

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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.