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Finding the Fourth Proportional to 324,648.32, 448,006.09 and 181,409.54

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Solution

The fourth proportional to 324,648.32, 448,006.09 and 181,409.54 is: 250,340.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,648.32 : 448,006.09 = 181,409.54 : x
  2. Step 2: Convert to fraction form
    324,648.32/448,006.09 = 181,409.54/x
  3. Step 3: Cross multiply
    324,648.32x = 448,006.09 × 181,409.54
  4. Step 4: Simplify right side
    324,648.32x = 81,272,578,704.10
  5. Step 5: Solve for x
    x = 81,272,578,704.10/324,648.32
  6. Step 6: Final answer
    x = 250,340.36

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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.