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Finding the Fourth Proportional to 383,980, 529,890.88 and 214,213.92

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Solution

The fourth proportional to 383,980, 529,890.88 and 214,213.92 is: 295,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,980 : 529,890.88 = 214,213.92 : x
  2. Step 2: Convert to fraction form
    383,980/529,890.88 = 214,213.92/x
  3. Step 3: Cross multiply
    383,980x = 529,890.88 × 214,213.92
  4. Step 4: Simplify right side
    383,980x = 113,510,002,577.05
  5. Step 5: Solve for x
    x = 113,510,002,577.05/383,980
  6. Step 6: Final answer
    x = 295,614.36

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