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Finding the Fourth Proportional to 383,763.78, 529,604.94 and 214,008.84

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Solution

The fourth proportional to 383,763.78, 529,604.94 and 214,008.84 is: 295,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,763.78 : 529,604.94 = 214,008.84 : x
  2. Step 2: Convert to fraction form
    383,763.78/529,604.94 = 214,008.84/x
  3. Step 3: Cross multiply
    383,763.78x = 529,604.94 × 214,008.84
  4. Step 4: Simplify right side
    383,763.78x = 113,340,138,867.67
  5. Step 5: Solve for x
    x = 113,340,138,867.67/383,763.78
  6. Step 6: Final answer
    x = 295,338.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.