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Finding the Fourth Proportional to 396,054.40, 594,076.20 and 129,823.60

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Solution

The fourth proportional to 396,054.40, 594,076.20 and 129,823.60 is: 194,733.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,054.40 : 594,076.20 = 129,823.60 : x
  2. Step 2: Convert to fraction form
    396,054.40/594,076.20 = 129,823.60/x
  3. Step 3: Cross multiply
    396,054.40x = 594,076.20 × 129,823.60
  4. Step 4: Simplify right side
    396,054.40x = 77,125,110,958.32
  5. Step 5: Solve for x
    x = 77,125,110,958.32/396,054.40
  6. Step 6: Final answer
    x = 194,733.63

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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.