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Finding the Fourth Proportional to 396,290.70, 594,481.14 and 143,690.16

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Solution

The fourth proportional to 396,290.70, 594,481.14 and 143,690.16 is: 215,551.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,290.70 : 594,481.14 = 143,690.16 : x
  2. Step 2: Convert to fraction form
    396,290.70/594,481.14 = 143,690.16/x
  3. Step 3: Cross multiply
    396,290.70x = 594,481.14 × 143,690.16
  4. Step 4: Simplify right side
    396,290.70x = 85,421,090,123.58
  5. Step 5: Solve for x
    x = 85,421,090,123.58/396,290.70
  6. Step 6: Final answer
    x = 215,551.59

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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.