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Finding the Fourth Proportional to 383,901.72, 529,825.50 and 214,194.84

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Solution

The fourth proportional to 383,901.72, 529,825.50 and 214,194.84 is: 295,611.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,901.72 : 529,825.50 = 214,194.84 : x
  2. Step 2: Convert to fraction form
    383,901.72/529,825.50 = 214,194.84/x
  3. Step 3: Cross multiply
    383,901.72x = 529,825.50 × 214,194.84
  4. Step 4: Simplify right side
    383,901.72x = 113,485,888,200.42
  5. Step 5: Solve for x
    x = 113,485,888,200.42/383,901.72
  6. Step 6: Final answer
    x = 295,611.83

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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.