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Finding the Fourth Proportional to 313,059.50, 469,589.26 and 146,847.50

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Solution

The fourth proportional to 313,059.50, 469,589.26 and 146,847.50 is: 220,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,059.50 : 469,589.26 = 146,847.50 : x
  2. Step 2: Convert to fraction form
    313,059.50/469,589.26 = 146,847.50/x
  3. Step 3: Cross multiply
    313,059.50x = 469,589.26 × 146,847.50
  4. Step 4: Simplify right side
    313,059.50x = 68,958,008,857.85
  5. Step 5: Solve for x
    x = 68,958,008,857.85/313,059.50
  6. Step 6: Final answer
    x = 220,271.25

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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.