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Finding the Fourth Proportional to 321,909.49, 444,256.32 and 185,949.16

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Solution

The fourth proportional to 321,909.49, 444,256.32 and 185,949.16 is: 256,622.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,909.49 : 444,256.32 = 185,949.16 : x
  2. Step 2: Convert to fraction form
    321,909.49/444,256.32 = 185,949.16/x
  3. Step 3: Cross multiply
    321,909.49x = 444,256.32 × 185,949.16
  4. Step 4: Simplify right side
    321,909.49x = 82,609,086,377.66
  5. Step 5: Solve for x
    x = 82,609,086,377.66/321,909.49
  6. Step 6: Final answer
    x = 256,622.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.