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Finding the Fourth Proportional to 208,209.97, 312,313.92 and 50,438.44

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Solution

The fourth proportional to 208,209.97, 312,313.92 and 50,438.44 is: 75,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,209.97 : 312,313.92 = 50,438.44 : x
  2. Step 2: Convert to fraction form
    208,209.97/312,313.92 = 50,438.44/x
  3. Step 3: Cross multiply
    208,209.97x = 312,313.92 × 50,438.44
  4. Step 4: Simplify right side
    208,209.97x = 15,752,626,915.08
  5. Step 5: Solve for x
    x = 15,752,626,915.08/208,209.97
  6. Step 6: Final answer
    x = 75,657.41

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1.5x scale

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.