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Finding the Fourth Proportional to 311,514.54, 467,271.76 and 74,857.22

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Solution

The fourth proportional to 311,514.54, 467,271.76 and 74,857.22 is: 112,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,514.54 : 467,271.76 = 74,857.22 : x
  2. Step 2: Convert to fraction form
    311,514.54/467,271.76 = 74,857.22/x
  3. Step 3: Cross multiply
    311,514.54x = 467,271.76 × 74,857.22
  4. Step 4: Simplify right side
    311,514.54x = 34,978,664,938.11
  5. Step 5: Solve for x
    x = 34,978,664,938.11/311,514.54
  6. Step 6: Final answer
    x = 112,285.82

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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.