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Finding the Fourth Proportional to 382,583.40, 573,183.90 and 327,287.40

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Solution

The fourth proportional to 382,583.40, 573,183.90 and 327,287.40 is: 490,339.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,583.40 : 573,183.90 = 327,287.40 : x
  2. Step 2: Convert to fraction form
    382,583.40/573,183.90 = 327,287.40/x
  3. Step 3: Cross multiply
    382,583.40x = 573,183.90 × 327,287.40
  4. Step 4: Simplify right side
    382,583.40x = 187,595,868,352.86
  5. Step 5: Solve for x
    x = 187,595,868,352.86/382,583.40
  6. Step 6: Final answer
    x = 490,339.80

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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.