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Finding the Fourth Proportional to 314,522.44, 434,081.97 and 187,198.03

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Solution

The fourth proportional to 314,522.44, 434,081.97 and 187,198.03 is: 258,357.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,522.44 : 434,081.97 = 187,198.03 : x
  2. Step 2: Convert to fraction form
    314,522.44/434,081.97 = 187,198.03/x
  3. Step 3: Cross multiply
    314,522.44x = 434,081.97 × 187,198.03
  4. Step 4: Simplify right side
    314,522.44x = 81,259,290,185.12
  5. Step 5: Solve for x
    x = 81,259,290,185.12/314,522.44
  6. Step 6: Final answer
    x = 258,357.69

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Why These Related Problems?

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