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Finding the Fourth Proportional to 383,941.80, 576,350.10 and 226,259.10

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Solution

The fourth proportional to 383,941.80, 576,350.10 and 226,259.10 is: 339,646.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,941.80 : 576,350.10 = 226,259.10 : x
  2. Step 2: Convert to fraction form
    383,941.80/576,350.10 = 226,259.10/x
  3. Step 3: Cross multiply
    383,941.80x = 576,350.10 × 226,259.10
  4. Step 4: Simplify right side
    383,941.80x = 130,404,454,910.91
  5. Step 5: Solve for x
    x = 130,404,454,910.91/383,941.80
  6. Step 6: Final answer
    x = 339,646.41

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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.