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Finding the Fourth Proportional to 311,284.60, 466,926.90 and 100,919.80

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Solution

The fourth proportional to 311,284.60, 466,926.90 and 100,919.80 is: 151,379.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,284.60 : 466,926.90 = 100,919.80 : x
  2. Step 2: Convert to fraction form
    311,284.60/466,926.90 = 100,919.80/x
  3. Step 3: Cross multiply
    311,284.60x = 466,926.90 × 100,919.80
  4. Step 4: Simplify right side
    311,284.60x = 47,122,169,362.62
  5. Step 5: Solve for x
    x = 47,122,169,362.62/311,284.60
  6. Step 6: Final answer
    x = 151,379.70

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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.