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Finding the Fourth Proportional to 383,803.14, 529,650.72 and 214,048.20

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Solution

The fourth proportional to 383,803.14, 529,650.72 and 214,048.20 is: 295,387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,803.14 : 529,650.72 = 214,048.20 : x
  2. Step 2: Convert to fraction form
    383,803.14/529,650.72 = 214,048.20/x
  3. Step 3: Cross multiply
    383,803.14x = 529,650.72 × 214,048.20
  4. Step 4: Simplify right side
    383,803.14x = 113,370,783,244.70
  5. Step 5: Solve for x
    x = 113,370,783,244.70/383,803.14
  6. Step 6: Final answer
    x = 295,387.85

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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.