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Finding the Fourth Proportional to 298,190.80, 447,286.20 and 193,128.40

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Solution

The fourth proportional to 298,190.80, 447,286.20 and 193,128.40 is: 289,692.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.80 : 447,286.20 = 193,128.40 : x
  2. Step 2: Convert to fraction form
    298,190.80/447,286.20 = 193,128.40/x
  3. Step 3: Cross multiply
    298,190.80x = 447,286.20 × 193,128.40
  4. Step 4: Simplify right side
    298,190.80x = 86,383,668,148.08
  5. Step 5: Solve for x
    x = 86,383,668,148.08/298,190.80
  6. Step 6: Final answer
    x = 289,692.60

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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.