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Finding the Fourth Proportional to 481,096.08, 663,923.40 and 311,625.12

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Solution

The fourth proportional to 481,096.08, 663,923.40 and 311,625.12 is: 430,049.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,096.08 : 663,923.40 = 311,625.12 : x
  2. Step 2: Convert to fraction form
    481,096.08/663,923.40 = 311,625.12/x
  3. Step 3: Cross multiply
    481,096.08x = 663,923.40 × 311,625.12
  4. Step 4: Simplify right side
    481,096.08x = 206,895,209,195.81
  5. Step 5: Solve for x
    x = 206,895,209,195.81/481,096.08
  6. Step 6: Final answer
    x = 430,049.67

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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.