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Finding the Fourth Proportional to 311,004.64, 466,638.18 and 153,234.64

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Solution

The fourth proportional to 311,004.64, 466,638.18 and 153,234.64 is: 229,916.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,004.64 : 466,638.18 = 153,234.64 : x
  2. Step 2: Convert to fraction form
    311,004.64/466,638.18 = 153,234.64/x
  3. Step 3: Cross multiply
    311,004.64x = 466,638.18 × 153,234.64
  4. Step 4: Simplify right side
    311,004.64x = 71,505,133,522.56
  5. Step 5: Solve for x
    x = 71,505,133,522.56/311,004.64
  6. Step 6: Final answer
    x = 229,916.61

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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.