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Finding the Fourth Proportional to 382,064.30, 573,096.45 and 204,917.30

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Solution

The fourth proportional to 382,064.30, 573,096.45 and 204,917.30 is: 307,375.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,064.30 : 573,096.45 = 204,917.30 : x
  2. Step 2: Convert to fraction form
    382,064.30/573,096.45 = 204,917.30/x
  3. Step 3: Cross multiply
    382,064.30x = 573,096.45 × 204,917.30
  4. Step 4: Simplify right side
    382,064.30x = 117,437,377,173.59
  5. Step 5: Solve for x
    x = 117,437,377,173.59/382,064.30
  6. Step 6: Final answer
    x = 307,375.95

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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.