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Finding the Fourth Proportional to 383,870.38, 529,741.84 and 214,115.44

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Solution

The fourth proportional to 383,870.38, 529,741.84 and 214,115.44 is: 295,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,870.38 : 529,741.84 = 214,115.44 : x
  2. Step 2: Convert to fraction form
    383,870.38/529,741.84 = 214,115.44/x
  3. Step 3: Cross multiply
    383,870.38x = 529,741.84 × 214,115.44
  4. Step 4: Simplify right side
    383,870.38x = 113,425,907,158.01
  5. Step 5: Solve for x
    x = 113,425,907,158.01/383,870.38
  6. Step 6: Final answer
    x = 295,479.71

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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.