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Finding the Fourth Proportional to 513,000.16, 769,500.44 and 133,919.84

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Solution

The fourth proportional to 513,000.16, 769,500.44 and 133,919.84 is: 200,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000.16 : 769,500.44 = 133,919.84 : x
  2. Step 2: Convert to fraction form
    513,000.16/769,500.44 = 133,919.84/x
  3. Step 3: Cross multiply
    513,000.16x = 769,500.44 × 133,919.84
  4. Step 4: Simplify right side
    513,000.16x = 103,051,375,804.73
  5. Step 5: Solve for x
    x = 103,051,375,804.73/513,000.16
  6. Step 6: Final answer
    x = 200,879.81

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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.