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Finding the Fourth Proportional to 382,077.80, 573,116.70 and 204,930.80

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Solution

The fourth proportional to 382,077.80, 573,116.70 and 204,930.80 is: 307,396.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,077.80 : 573,116.70 = 204,930.80 : x
  2. Step 2: Convert to fraction form
    382,077.80/573,116.70 = 204,930.80/x
  3. Step 3: Cross multiply
    382,077.80x = 573,116.70 × 204,930.80
  4. Step 4: Simplify right side
    382,077.80x = 117,449,263,824.36
  5. Step 5: Solve for x
    x = 117,449,263,824.36/382,077.80
  6. Step 6: Final answer
    x = 307,396.20

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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.