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Finding the Fourth Proportional to 382,846.57, 573,266.57 and 269,915.36

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Solution

The fourth proportional to 382,846.57, 573,266.57 and 269,915.36 is: 404,165.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,846.57 : 573,266.57 = 269,915.36 : x
  2. Step 2: Convert to fraction form
    382,846.57/573,266.57 = 269,915.36/x
  3. Step 3: Cross multiply
    382,846.57x = 573,266.57 × 269,915.36
  4. Step 4: Simplify right side
    382,846.57x = 154,733,448,401.61
  5. Step 5: Solve for x
    x = 154,733,448,401.61/382,846.57
  6. Step 6: Final answer
    x = 404,165.69

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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.