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Finding the Fourth Proportional to 325,570.80, 449,266.32 and 182,298

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Solution

The fourth proportional to 325,570.80, 449,266.32 and 182,298 is: 251,559.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,570.80 : 449,266.32 = 182,298 : x
  2. Step 2: Convert to fraction form
    325,570.80/449,266.32 = 182,298/x
  3. Step 3: Cross multiply
    325,570.80x = 449,266.32 × 182,298
  4. Step 4: Simplify right side
    325,570.80x = 81,900,351,603.36
  5. Step 5: Solve for x
    x = 81,900,351,603.36/325,570.80
  6. Step 6: Final answer
    x = 251,559.27

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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.