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Finding the Fourth Proportional to 383,516.41, 529,270.77 and 213,751.75

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Solution

The fourth proportional to 383,516.41, 529,270.77 and 213,751.75 is: 294,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,516.41 : 529,270.77 = 213,751.75 : x
  2. Step 2: Convert to fraction form
    383,516.41/529,270.77 = 213,751.75/x
  3. Step 3: Cross multiply
    383,516.41x = 529,270.77 × 213,751.75
  4. Step 4: Simplify right side
    383,516.41x = 113,132,553,311.35
  5. Step 5: Solve for x
    x = 113,132,553,311.35/383,516.41
  6. Step 6: Final answer
    x = 294,987.52

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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.