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Finding the Fourth Proportional to 382,491.68, 573,815.28 and 133,193.12

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Solution

The fourth proportional to 382,491.68, 573,815.28 and 133,193.12 is: 199,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,491.68 : 573,815.28 = 133,193.12 : x
  2. Step 2: Convert to fraction form
    382,491.68/573,815.28 = 133,193.12/x
  3. Step 3: Cross multiply
    382,491.68x = 573,815.28 × 133,193.12
  4. Step 4: Simplify right side
    382,491.68x = 76,428,247,446.87
  5. Step 5: Solve for x
    x = 76,428,247,446.87/382,491.68
  6. Step 6: Final answer
    x = 199,816.76

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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.