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Finding the Fourth Proportional to 297,653.76, 446,469.12 and 100,661.76

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Solution

The fourth proportional to 297,653.76, 446,469.12 and 100,661.76 is: 150,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,653.76 : 446,469.12 = 100,661.76 : x
  2. Step 2: Convert to fraction form
    297,653.76/446,469.12 = 100,661.76/x
  3. Step 3: Cross multiply
    297,653.76x = 446,469.12 × 100,661.76
  4. Step 4: Simplify right side
    297,653.76x = 44,942,367,404.85
  5. Step 5: Solve for x
    x = 44,942,367,404.85/297,653.76
  6. Step 6: Final answer
    x = 150,988.74

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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.