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Finding the Fourth Proportional to 396,301.44, 594,175.68 and 146,916.48

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Solution

The fourth proportional to 396,301.44, 594,175.68 and 146,916.48 is: 220,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,301.44 : 594,175.68 = 146,916.48 : x
  2. Step 2: Convert to fraction form
    396,301.44/594,175.68 = 146,916.48/x
  3. Step 3: Cross multiply
    396,301.44x = 594,175.68 × 146,916.48
  4. Step 4: Simplify right side
    396,301.44x = 87,294,199,407.21
  5. Step 5: Solve for x
    x = 87,294,199,407.21/396,301.44
  6. Step 6: Final answer
    x = 220,272.22

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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.