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Finding the Fourth Proportional to 427,087.71, 589,396.77 and 233,508.31

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Solution

The fourth proportional to 427,087.71, 589,396.77 and 233,508.31 is: 322,250.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,087.71 : 589,396.77 = 233,508.31 : x
  2. Step 2: Convert to fraction form
    427,087.71/589,396.77 = 233,508.31/x
  3. Step 3: Cross multiply
    427,087.71x = 589,396.77 × 233,508.31
  4. Step 4: Simplify right side
    427,087.71x = 137,629,040,394.71
  5. Step 5: Solve for x
    x = 137,629,040,394.71/427,087.71
  6. Step 6: Final answer
    x = 322,250.06

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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.