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Finding the Fourth Proportional to 396,147.84, 594,403.20 and 171,576.96

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Solution

The fourth proportional to 396,147.84, 594,403.20 and 171,576.96 is: 257,444.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,147.84 : 594,403.20 = 171,576.96 : x
  2. Step 2: Convert to fraction form
    396,147.84/594,403.20 = 171,576.96/x
  3. Step 3: Cross multiply
    396,147.84x = 594,403.20 × 171,576.96
  4. Step 4: Simplify right side
    396,147.84x = 101,985,894,070.27
  5. Step 5: Solve for x
    x = 101,985,894,070.27/396,147.84
  6. Step 6: Final answer
    x = 257,444.02

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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.