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Finding the Fourth Proportional to 311,683.86, 430,195.28 and 190,891.71

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Solution

The fourth proportional to 311,683.86, 430,195.28 and 190,891.71 is: 263,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,683.86 : 430,195.28 = 190,891.71 : x
  2. Step 2: Convert to fraction form
    311,683.86/430,195.28 = 190,891.71/x
  3. Step 3: Cross multiply
    311,683.86x = 430,195.28 × 190,891.71
  4. Step 4: Simplify right side
    311,683.86x = 82,120,711,678.67
  5. Step 5: Solve for x
    x = 82,120,711,678.67/311,683.86
  6. Step 6: Final answer
    x = 263,474.38

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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.