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Finding the Fourth Proportional to 294,048.78, 405,786.87 and 179,327.22

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Solution

The fourth proportional to 294,048.78, 405,786.87 and 179,327.22 is: 247,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,048.78 : 405,786.87 = 179,327.22 : x
  2. Step 2: Convert to fraction form
    294,048.78/405,786.87 = 179,327.22/x
  3. Step 3: Cross multiply
    294,048.78x = 405,786.87 × 179,327.22
  4. Step 4: Simplify right side
    294,048.78x = 72,768,631,309.60
  5. Step 5: Solve for x
    x = 72,768,631,309.60/294,048.78
  6. Step 6: Final answer
    x = 247,471.29

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Why These Related Problems?

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