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Finding the Fourth Proportional to 311,683.83, 430,092.63 and 190,859.37

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Solution

The fourth proportional to 311,683.83, 430,092.63 and 190,859.37 is: 263,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,683.83 : 430,092.63 = 190,859.37 : x
  2. Step 2: Convert to fraction form
    311,683.83/430,092.63 = 190,859.37/x
  3. Step 3: Cross multiply
    311,683.83x = 430,092.63 × 190,859.37
  4. Step 4: Simplify right side
    311,683.83x = 82,087,208,403.44
  5. Step 5: Solve for x
    x = 82,087,208,403.44/311,683.83
  6. Step 6: Final answer
    x = 263,366.91

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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.