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Finding the Fourth Proportional to 383,809.14, 529,659 and 214,054.20

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Solution

The fourth proportional to 383,809.14, 529,659 and 214,054.20 is: 295,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,809.14 : 529,659 = 214,054.20 : x
  2. Step 2: Convert to fraction form
    383,809.14/529,659 = 214,054.20/x
  3. Step 3: Cross multiply
    383,809.14x = 529,659 × 214,054.20
  4. Step 4: Simplify right side
    383,809.14x = 113,375,733,517.80
  5. Step 5: Solve for x
    x = 113,375,733,517.80/383,809.14
  6. Step 6: Final answer
    x = 295,396.13

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1.5x scale

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.