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Finding the Fourth Proportional to 293,965.52, 405,237.47 and 229,361.54

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Solution

The fourth proportional to 293,965.52, 405,237.47 and 229,361.54 is: 316,179.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,965.52 : 405,237.47 = 229,361.54 : x
  2. Step 2: Convert to fraction form
    293,965.52/405,237.47 = 229,361.54/x
  3. Step 3: Cross multiply
    293,965.52x = 405,237.47 × 229,361.54
  4. Step 4: Simplify right side
    293,965.52x = 92,945,887,011.91
  5. Step 5: Solve for x
    x = 92,945,887,011.91/293,965.52
  6. Step 6: Final answer
    x = 316,179.56

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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.