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Finding the Fourth Proportional to 382,394.22, 573,592.69 and 171,786.12

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Solution

The fourth proportional to 382,394.22, 573,592.69 and 171,786.12 is: 257,679.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,394.22 : 573,592.69 = 171,786.12 : x
  2. Step 2: Convert to fraction form
    382,394.22/573,592.69 = 171,786.12/x
  3. Step 3: Cross multiply
    382,394.22x = 573,592.69 × 171,786.12
  4. Step 4: Simplify right side
    382,394.22x = 98,535,260,739.22
  5. Step 5: Solve for x
    x = 98,535,260,739.22/382,394.22
  6. Step 6: Final answer
    x = 257,679.79

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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.