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Finding the Fourth Proportional to 413,759.37, 620,198.01 and 235,883.37

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Solution

The fourth proportional to 413,759.37, 620,198.01 and 235,883.37 is: 353,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,759.37 : 620,198.01 = 235,883.37 : x
  2. Step 2: Convert to fraction form
    413,759.37/620,198.01 = 235,883.37/x
  3. Step 3: Cross multiply
    413,759.37x = 620,198.01 × 235,883.37
  4. Step 4: Simplify right side
    413,759.37x = 146,294,396,666.09
  5. Step 5: Solve for x
    x = 146,294,396,666.09/413,759.37
  6. Step 6: Final answer
    x = 353,573.62

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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.