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Finding the Fourth Proportional to 366,443.24, 505,679.44 and 203,092.78

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Solution

The fourth proportional to 366,443.24, 505,679.44 and 203,092.78 is: 280,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,443.24 : 505,679.44 = 203,092.78 : x
  2. Step 2: Convert to fraction form
    366,443.24/505,679.44 = 203,092.78/x
  3. Step 3: Cross multiply
    366,443.24x = 505,679.44 × 203,092.78
  4. Step 4: Simplify right side
    366,443.24x = 102,699,842,242.98
  5. Step 5: Solve for x
    x = 102,699,842,242.98/366,443.24
  6. Step 6: Final answer
    x = 280,261.26

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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.