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Finding the Fourth Proportional to 311,514.29, 467,271.38 and 74,856.97

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Solution

The fourth proportional to 311,514.29, 467,271.38 and 74,856.97 is: 112,285.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.29 : 467,271.38 = 74,856.97 : x
  2. Step 2: Convert to fraction form
    311,514.29/467,271.38 = 74,856.97/x
  3. Step 3: Cross multiply
    311,514.29x = 467,271.38 × 74,856.97
  4. Step 4: Simplify right side
    311,514.29x = 34,978,519,674.52
  5. Step 5: Solve for x
    x = 34,978,519,674.52/311,514.29
  6. Step 6: Final answer
    x = 112,285.44

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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.