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Finding the Fourth Proportional to 384,806.44, 531,033.60 and 215,040.57

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Solution

The fourth proportional to 384,806.44, 531,033.60 and 215,040.57 is: 296,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,806.44 : 531,033.60 = 215,040.57 : x
  2. Step 2: Convert to fraction form
    384,806.44/531,033.60 = 215,040.57/x
  3. Step 3: Cross multiply
    384,806.44x = 531,033.60 × 215,040.57
  4. Step 4: Simplify right side
    384,806.44x = 114,193,768,033.15
  5. Step 5: Solve for x
    x = 114,193,768,033.15/384,806.44
  6. Step 6: Final answer
    x = 296,756.38

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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.