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Finding the Fourth Proportional to 384,556.84, 576,930.42 and 159,849.88

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Solution

The fourth proportional to 384,556.84, 576,930.42 and 159,849.88 is: 239,814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,556.84 : 576,930.42 = 159,849.88 : x
  2. Step 2: Convert to fraction form
    384,556.84/576,930.42 = 159,849.88/x
  3. Step 3: Cross multiply
    384,556.84x = 576,930.42 × 159,849.88
  4. Step 4: Simplify right side
    384,556.84x = 92,222,258,405.35
  5. Step 5: Solve for x
    x = 92,222,258,405.35/384,556.84
  6. Step 6: Final answer
    x = 239,814.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.