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Finding the Fourth Proportional to 396,374.54, 594,652.62 and 171,772.66

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Solution

The fourth proportional to 396,374.54, 594,652.62 and 171,772.66 is: 257,698.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,374.54 : 594,652.62 = 171,772.66 : x
  2. Step 2: Convert to fraction form
    396,374.54/594,652.62 = 171,772.66/x
  3. Step 3: Cross multiply
    396,374.54x = 594,652.62 × 171,772.66
  4. Step 4: Simplify right side
    396,374.54x = 102,145,062,313.37
  5. Step 5: Solve for x
    x = 102,145,062,313.37/396,374.54
  6. Step 6: Final answer
    x = 257,698.34

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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.