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Finding the Fourth Proportional to 382,286.22, 573,443.91 and 195,079.02

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Solution

The fourth proportional to 382,286.22, 573,443.91 and 195,079.02 is: 292,625.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,286.22 : 573,443.91 = 195,079.02 : x
  2. Step 2: Convert to fraction form
    382,286.22/573,443.91 = 195,079.02/x
  3. Step 3: Cross multiply
    382,286.22x = 573,443.91 × 195,079.02
  4. Step 4: Simplify right side
    382,286.22x = 111,866,875,987.77
  5. Step 5: Solve for x
    x = 111,866,875,987.77/382,286.22
  6. Step 6: Final answer
    x = 292,625.97

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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.