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Finding the Fourth Proportional to 419,321.10, 628,981.65 and 366,833.10

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Solution

The fourth proportional to 419,321.10, 628,981.65 and 366,833.10 is: 550,249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,321.10 : 628,981.65 = 366,833.10 : x
  2. Step 2: Convert to fraction form
    419,321.10/628,981.65 = 366,833.10/x
  3. Step 3: Cross multiply
    419,321.10x = 628,981.65 × 366,833.10
  4. Step 4: Simplify right side
    419,321.10x = 230,731,288,512.62
  5. Step 5: Solve for x
    x = 230,731,288,512.62/419,321.10
  6. Step 6: Final answer
    x = 550,249.65

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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.