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Finding the Fourth Proportional to 324,873.31, 448,206.19 and 195,840.31

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Solution

The fourth proportional to 324,873.31, 448,206.19 and 195,840.31 is: 270,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,873.31 : 448,206.19 = 195,840.31 : x
  2. Step 2: Convert to fraction form
    324,873.31/448,206.19 = 195,840.31/x
  3. Step 3: Cross multiply
    324,873.31x = 448,206.19 × 195,840.31
  4. Step 4: Simplify right side
    324,873.31x = 87,776,839,193.52
  5. Step 5: Solve for x
    x = 87,776,839,193.52/324,873.31
  6. Step 6: Final answer
    x = 270,187.91

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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.