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Finding the Fourth Proportional to 356,932.26, 492,581.97 and 213,664.59

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Solution

The fourth proportional to 356,932.26, 492,581.97 and 213,664.59 is: 294,866.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,932.26 : 492,581.97 = 213,664.59 : x
  2. Step 2: Convert to fraction form
    356,932.26/492,581.97 = 213,664.59/x
  3. Step 3: Cross multiply
    356,932.26x = 492,581.97 × 213,664.59
  4. Step 4: Simplify right side
    356,932.26x = 105,247,324,661.44
  5. Step 5: Solve for x
    x = 105,247,324,661.44/356,932.26
  6. Step 6: Final answer
    x = 294,866.38

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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.