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Finding the Fourth Proportional to 382,310.39, 573,494.75 and 116,092.96

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Solution

The fourth proportional to 382,310.39, 573,494.75 and 116,092.96 is: 174,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,310.39 : 573,494.75 = 116,092.96 : x
  2. Step 2: Convert to fraction form
    382,310.39/573,494.75 = 116,092.96/x
  3. Step 3: Cross multiply
    382,310.39x = 573,494.75 × 116,092.96
  4. Step 4: Simplify right side
    382,310.39x = 66,578,703,071.96
  5. Step 5: Solve for x
    x = 66,578,703,071.96/382,310.39
  6. Step 6: Final answer
    x = 174,148.30

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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.