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Finding the Fourth Proportional to 489,235.39, 733,016.51 and 382,578.16

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Solution

The fourth proportional to 489,235.39, 733,016.51 and 382,578.16 is: 573,213.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,235.39 : 733,016.51 = 382,578.16 : x
  2. Step 2: Convert to fraction form
    489,235.39/733,016.51 = 382,578.16/x
  3. Step 3: Cross multiply
    489,235.39x = 733,016.51 × 382,578.16
  4. Step 4: Simplify right side
    489,235.39x = 280,436,105,732.53
  5. Step 5: Solve for x
    x = 280,436,105,732.53/489,235.39
  6. Step 6: Final answer
    x = 573,213.04

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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.