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Finding the Fourth Proportional to 264,806.87, 396,986.40 and 114,934.50

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Solution

The fourth proportional to 264,806.87, 396,986.40 and 114,934.50 is: 172,304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,806.87 : 396,986.40 = 114,934.50 : x
  2. Step 2: Convert to fraction form
    264,806.87/396,986.40 = 114,934.50/x
  3. Step 3: Cross multiply
    264,806.87x = 396,986.40 × 114,934.50
  4. Step 4: Simplify right side
    264,806.87x = 45,627,433,390.80
  5. Step 5: Solve for x
    x = 45,627,433,390.80/264,806.87
  6. Step 6: Final answer
    x = 172,304.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.