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Finding the Fourth Proportional to 382,243.53, 573,808.20 and 205,096.53

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Solution

The fourth proportional to 382,243.53, 573,808.20 and 205,096.53 is: 307,882.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,243.53 : 573,808.20 = 205,096.53 : x
  2. Step 2: Convert to fraction form
    382,243.53/573,808.20 = 205,096.53/x
  3. Step 3: Cross multiply
    382,243.53x = 573,808.20 × 205,096.53
  4. Step 4: Simplify right side
    382,243.53x = 117,686,070,705.55
  5. Step 5: Solve for x
    x = 117,686,070,705.55/382,243.53
  6. Step 6: Final answer
    x = 307,882.44

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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.