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Finding the Fourth Proportional to 395,486.46, 545,771.88 and 214,198.74

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Solution

The fourth proportional to 395,486.46, 545,771.88 and 214,198.74 is: 295,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,486.46 : 545,771.88 = 214,198.74 : x
  2. Step 2: Convert to fraction form
    395,486.46/545,771.88 = 214,198.74/x
  3. Step 3: Cross multiply
    395,486.46x = 545,771.88 × 214,198.74
  4. Step 4: Simplify right side
    395,486.46x = 116,903,649,023.43
  5. Step 5: Solve for x
    x = 116,903,649,023.43/395,486.46
  6. Step 6: Final answer
    x = 295,594.57

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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.