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Finding the Fourth Proportional to 396,054.80, 594,082.20 and 228,093.20

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Solution

The fourth proportional to 396,054.80, 594,082.20 and 228,093.20 is: 342,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,054.80 : 594,082.20 = 228,093.20 : x
  2. Step 2: Convert to fraction form
    396,054.80/594,082.20 = 228,093.20/x
  3. Step 3: Cross multiply
    396,054.80x = 594,082.20 × 228,093.20
  4. Step 4: Simplify right side
    396,054.80x = 135,506,110,061.04
  5. Step 5: Solve for x
    x = 135,506,110,061.04/396,054.80
  6. Step 6: Final answer
    x = 342,139.80

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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.