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Finding the Fourth Proportional to 513,794.97, 770,766.27 and 158,836.67

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Solution

The fourth proportional to 513,794.97, 770,766.27 and 158,836.67 is: 238,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,794.97 : 770,766.27 = 158,836.67 : x
  2. Step 2: Convert to fraction form
    513,794.97/770,766.27 = 158,836.67/x
  3. Step 3: Cross multiply
    513,794.97x = 770,766.27 × 158,836.67
  4. Step 4: Simplify right side
    513,794.97x = 122,425,947,675.12
  5. Step 5: Solve for x
    x = 122,425,947,675.12/513,794.97
  6. Step 6: Final answer
    x = 238,277.82

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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.