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Finding the Fourth Proportional to 396,561.72, 594,842.90 and 326,293.32

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Solution

The fourth proportional to 396,561.72, 594,842.90 and 326,293.32 is: 489,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,561.72 : 594,842.90 = 326,293.32 : x
  2. Step 2: Convert to fraction form
    396,561.72/594,842.90 = 326,293.32/x
  3. Step 3: Cross multiply
    396,561.72x = 594,842.90 × 326,293.32
  4. Step 4: Simplify right side
    396,561.72x = 194,093,264,719.43
  5. Step 5: Solve for x
    x = 194,093,264,719.43/396,561.72
  6. Step 6: Final answer
    x = 489,440.24

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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.