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Finding the Fourth Proportional to 311,889.44, 430,411.85 and 190,986.61

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Solution

The fourth proportional to 311,889.44, 430,411.85 and 190,986.61 is: 263,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,889.44 : 430,411.85 = 190,986.61 : x
  2. Step 2: Convert to fraction form
    311,889.44/430,411.85 = 190,986.61/x
  3. Step 3: Cross multiply
    311,889.44x = 430,411.85 × 190,986.61
  4. Step 4: Simplify right side
    311,889.44x = 82,202,900,164.74
  5. Step 5: Solve for x
    x = 82,202,900,164.74/311,889.44
  6. Step 6: Final answer
    x = 263,564.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.