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Finding the Fourth Proportional to 538,501.94, 743,119.87 and 293,494.43

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Solution

The fourth proportional to 538,501.94, 743,119.87 and 293,494.43 is: 405,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,501.94 : 743,119.87 = 293,494.43 : x
  2. Step 2: Convert to fraction form
    538,501.94/743,119.87 = 293,494.43/x
  3. Step 3: Cross multiply
    538,501.94x = 743,119.87 × 293,494.43
  4. Step 4: Simplify right side
    538,501.94x = 218,101,543,791.39
  5. Step 5: Solve for x
    x = 218,101,543,791.39/538,501.94
  6. Step 6: Final answer
    x = 405,015.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.