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Finding the Fourth Proportional to 396,082.10, 594,123.15 and 289,793.90

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Solution

The fourth proportional to 396,082.10, 594,123.15 and 289,793.90 is: 434,690.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,082.10 : 594,123.15 = 289,793.90 : x
  2. Step 2: Convert to fraction form
    396,082.10/594,123.15 = 289,793.90/x
  3. Step 3: Cross multiply
    396,082.10x = 594,123.15 × 289,793.90
  4. Step 4: Simplify right side
    396,082.10x = 172,173,264,718.79
  5. Step 5: Solve for x
    x = 172,173,264,718.79/396,082.10
  6. Step 6: Final answer
    x = 434,690.85

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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.