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Finding the Fourth Proportional to 383,995, 529,913.10 and 214,229.08

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Solution

The fourth proportional to 383,995, 529,913.10 and 214,229.08 is: 295,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,995 : 529,913.10 = 214,229.08 : x
  2. Step 2: Convert to fraction form
    383,995/529,913.10 = 214,229.08/x
  3. Step 3: Cross multiply
    383,995x = 529,913.10 × 214,229.08
  4. Step 4: Simplify right side
    383,995x = 113,522,795,892.95
  5. Step 5: Solve for x
    x = 113,522,795,892.95/383,995
  6. Step 6: Final answer
    x = 295,636.13

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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.