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Finding the Fourth Proportional to 311,276.52, 465,733.40 and 192,653.64

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Solution

The fourth proportional to 311,276.52, 465,733.40 and 192,653.64 is: 288,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,276.52 : 465,733.40 = 192,653.64 : x
  2. Step 2: Convert to fraction form
    311,276.52/465,733.40 = 192,653.64/x
  3. Step 3: Cross multiply
    311,276.52x = 465,733.40 × 192,653.64
  4. Step 4: Simplify right side
    311,276.52x = 89,725,233,816.31
  5. Step 5: Solve for x
    x = 89,725,233,816.31/311,276.52
  6. Step 6: Final answer
    x = 288,249.28

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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.