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Finding the Fourth Proportional to 263,309.70, 394,296.30 and 144,847.20

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Solution

The fourth proportional to 263,309.70, 394,296.30 and 144,847.20 is: 216,903.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,309.70 : 394,296.30 = 144,847.20 : x
  2. Step 2: Convert to fraction form
    263,309.70/394,296.30 = 144,847.20/x
  3. Step 3: Cross multiply
    263,309.70x = 394,296.30 × 144,847.20
  4. Step 4: Simplify right side
    263,309.70x = 57,112,715,025.36
  5. Step 5: Solve for x
    x = 57,112,715,025.36/263,309.70
  6. Step 6: Final answer
    x = 216,903.19

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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.