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Finding the Fourth Proportional to 321,762.24, 444,029.04 and 185,824.80

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Solution

The fourth proportional to 321,762.24, 444,029.04 and 185,824.80 is: 256,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,762.24 : 444,029.04 = 185,824.80 : x
  2. Step 2: Convert to fraction form
    321,762.24/444,029.04 = 185,824.80/x
  3. Step 3: Cross multiply
    321,762.24x = 444,029.04 × 185,824.80
  4. Step 4: Simplify right side
    321,762.24x = 82,511,607,552.19
  5. Step 5: Solve for x
    x = 82,511,607,552.19/321,762.24
  6. Step 6: Final answer
    x = 256,436.58

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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.