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Finding the Fourth Proportional to 311,570.46, 467,355.70 and 74,913.14

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Solution

The fourth proportional to 311,570.46, 467,355.70 and 74,913.14 is: 112,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,570.46 : 467,355.70 = 74,913.14 : x
  2. Step 2: Convert to fraction form
    311,570.46/467,355.70 = 74,913.14/x
  3. Step 3: Cross multiply
    311,570.46x = 467,355.70 × 74,913.14
  4. Step 4: Simplify right side
    311,570.46x = 35,011,082,983.90
  5. Step 5: Solve for x
    x = 35,011,082,983.90/311,570.46
  6. Step 6: Final answer
    x = 112,369.71

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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.