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Finding the Fourth Proportional to 396,072.80, 594,109.20 and 182,840.30

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Solution

The fourth proportional to 396,072.80, 594,109.20 and 182,840.30 is: 274,260.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,072.80 : 594,109.20 = 182,840.30 : x
  2. Step 2: Convert to fraction form
    396,072.80/594,109.20 = 182,840.30/x
  3. Step 3: Cross multiply
    396,072.80x = 594,109.20 × 182,840.30
  4. Step 4: Simplify right side
    396,072.80x = 108,627,104,360.76
  5. Step 5: Solve for x
    x = 108,627,104,360.76/396,072.80
  6. Step 6: Final answer
    x = 274,260.45

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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.