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Finding the Fourth Proportional to 462,757.51, 694,128.98 and 337,194.55

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Solution

The fourth proportional to 462,757.51, 694,128.98 and 337,194.55 is: 505,786.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,757.51 : 694,128.98 = 337,194.55 : x
  2. Step 2: Convert to fraction form
    462,757.51/694,128.98 = 337,194.55/x
  3. Step 3: Cross multiply
    462,757.51x = 694,128.98 × 337,194.55
  4. Step 4: Simplify right side
    462,757.51x = 234,056,508,866.99
  5. Step 5: Solve for x
    x = 234,056,508,866.99/462,757.51
  6. Step 6: Final answer
    x = 505,786.51

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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.