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Finding the Fourth Proportional to 513,755.37, 769,791.54 and 273,614.33

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Solution

The fourth proportional to 513,755.37, 769,791.54 and 273,614.33 is: 409,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,755.37 : 769,791.54 = 273,614.33 : x
  2. Step 2: Convert to fraction form
    513,755.37/769,791.54 = 273,614.33/x
  3. Step 3: Cross multiply
    513,755.37x = 769,791.54 × 273,614.33
  4. Step 4: Simplify right side
    513,755.37x = 210,625,992,607.81
  5. Step 5: Solve for x
    x = 210,625,992,607.81/513,755.37
  6. Step 6: Final answer
    x = 409,973.32

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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.