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Finding the Fourth Proportional to 414,103.40, 620,564.70 and 236,234.60

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Solution

The fourth proportional to 414,103.40, 620,564.70 and 236,234.60 is: 354,015.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,103.40 : 620,564.70 = 236,234.60 : x
  2. Step 2: Convert to fraction form
    414,103.40/620,564.70 = 236,234.60/x
  3. Step 3: Cross multiply
    414,103.40x = 620,564.70 × 236,234.60
  4. Step 4: Simplify right side
    414,103.40x = 146,598,853,678.62
  5. Step 5: Solve for x
    x = 146,598,853,678.62/414,103.40
  6. Step 6: Final answer
    x = 354,015.09

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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.