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Finding the Fourth Proportional to 358,930.44, 538,376.22 and 109,593

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Solution

The fourth proportional to 358,930.44, 538,376.22 and 109,593 is: 164,383.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,930.44 : 538,376.22 = 109,593 : x
  2. Step 2: Convert to fraction form
    358,930.44/538,376.22 = 109,593/x
  3. Step 3: Cross multiply
    358,930.44x = 538,376.22 × 109,593
  4. Step 4: Simplify right side
    358,930.44x = 59,002,265,078.46
  5. Step 5: Solve for x
    x = 59,002,265,078.46/358,930.44
  6. Step 6: Final answer
    x = 164,383.56

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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.