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Finding the Fourth Proportional to 298,794.77, 412,336.85 and 162,828.73

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Solution

The fourth proportional to 298,794.77, 412,336.85 and 162,828.73 is: 224,703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,794.77 : 412,336.85 = 162,828.73 : x
  2. Step 2: Convert to fraction form
    298,794.77/412,336.85 = 162,828.73/x
  3. Step 3: Cross multiply
    298,794.77x = 412,336.85 × 162,828.73
  4. Step 4: Simplify right side
    298,794.77x = 67,140,286,692.85
  5. Step 5: Solve for x
    x = 67,140,286,692.85/298,794.77
  6. Step 6: Final answer
    x = 224,703.68

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1.5x scale

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.