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Finding the Fourth Proportional to 419,161.96, 628,749.42 and 233,354.44

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Solution

The fourth proportional to 419,161.96, 628,749.42 and 233,354.44 is: 350,035.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,161.96 : 628,749.42 = 233,354.44 : x
  2. Step 2: Convert to fraction form
    419,161.96/628,749.42 = 233,354.44/x
  3. Step 3: Cross multiply
    419,161.96x = 628,749.42 × 233,354.44
  4. Step 4: Simplify right side
    419,161.96x = 146,721,468,804.43
  5. Step 5: Solve for x
    x = 146,721,468,804.43/419,161.96
  6. Step 6: Final answer
    x = 350,035.27

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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.