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Finding the Fourth Proportional to 382,309.39, 573,493.25 and 116,091.96

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Solution

The fourth proportional to 382,309.39, 573,493.25 and 116,091.96 is: 174,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,309.39 : 573,493.25 = 116,091.96 : x
  2. Step 2: Convert to fraction form
    382,309.39/573,493.25 = 116,091.96/x
  3. Step 3: Cross multiply
    382,309.39x = 573,493.25 × 116,091.96
  4. Step 4: Simplify right side
    382,309.39x = 66,577,955,439.27
  5. Step 5: Solve for x
    x = 66,577,955,439.27/382,309.39
  6. Step 6: Final answer
    x = 174,146.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.