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Finding the Fourth Proportional to 379,264.62, 523,401.09 and 218,119.80

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Solution

The fourth proportional to 379,264.62, 523,401.09 and 218,119.80 is: 301,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,264.62 : 523,401.09 = 218,119.80 : x
  2. Step 2: Convert to fraction form
    379,264.62/523,401.09 = 218,119.80/x
  3. Step 3: Cross multiply
    379,264.62x = 523,401.09 × 218,119.80
  4. Step 4: Simplify right side
    379,264.62x = 114,164,141,070.58
  5. Step 5: Solve for x
    x = 114,164,141,070.58/379,264.62
  6. Step 6: Final answer
    x = 301,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.