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Finding the Fourth Proportional to 541,809.36, 812,790.24 and 226,194.48

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Solution

The fourth proportional to 541,809.36, 812,790.24 and 226,194.48 is: 339,323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,809.36 : 812,790.24 = 226,194.48 : x
  2. Step 2: Convert to fraction form
    541,809.36/812,790.24 = 226,194.48/x
  3. Step 3: Cross multiply
    541,809.36x = 812,790.24 × 226,194.48
  4. Step 4: Simplify right side
    541,809.36x = 183,848,665,685.88
  5. Step 5: Solve for x
    x = 183,848,665,685.88/541,809.36
  6. Step 6: Final answer
    x = 339,323.53

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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.