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Finding the Fourth Proportional to 324,698.19, 448,085.13 and 181,460.61

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Solution

The fourth proportional to 324,698.19, 448,085.13 and 181,460.61 is: 250,416.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,698.19 : 448,085.13 = 181,460.61 : x
  2. Step 2: Convert to fraction form
    324,698.19/448,085.13 = 181,460.61/x
  3. Step 3: Cross multiply
    324,698.19x = 448,085.13 × 181,460.61
  4. Step 4: Simplify right side
    324,698.19x = 81,309,801,021.73
  5. Step 5: Solve for x
    x = 81,309,801,021.73/324,698.19
  6. Step 6: Final answer
    x = 250,416.55

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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.