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Finding the Fourth Proportional to 311,604.92, 430,102.88 and 184,324.76

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Solution

The fourth proportional to 311,604.92, 430,102.88 and 184,324.76 is: 254,420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,604.92 : 430,102.88 = 184,324.76 : x
  2. Step 2: Convert to fraction form
    311,604.92/430,102.88 = 184,324.76/x
  3. Step 3: Cross multiply
    311,604.92x = 430,102.88 × 184,324.76
  4. Step 4: Simplify right side
    311,604.92x = 79,278,610,131.31
  5. Step 5: Solve for x
    x = 79,278,610,131.31/311,604.92
  6. Step 6: Final answer
    x = 254,420.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.