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Finding the Fourth Proportional to 337,087.84, 505,436.14 and 159,593.36

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Solution

The fourth proportional to 337,087.84, 505,436.14 and 159,593.36 is: 239,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,087.84 : 505,436.14 = 159,593.36 : x
  2. Step 2: Convert to fraction form
    337,087.84/505,436.14 = 159,593.36/x
  3. Step 3: Cross multiply
    337,087.84x = 505,436.14 × 159,593.36
  4. Step 4: Simplify right side
    337,087.84x = 80,664,251,848.03
  5. Step 5: Solve for x
    x = 80,664,251,848.03/337,087.84
  6. Step 6: Final answer
    x = 239,297.42

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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.