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Finding the Fourth Proportional to 311,104.85, 466,935.41 and 159,405.41

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Solution

The fourth proportional to 311,104.85, 466,935.41 and 159,405.41 is: 239,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,104.85 : 466,935.41 = 159,405.41 : x
  2. Step 2: Convert to fraction form
    311,104.85/466,935.41 = 159,405.41/x
  3. Step 3: Cross multiply
    311,104.85x = 466,935.41 × 159,405.41
  4. Step 4: Simplify right side
    311,104.85x = 74,432,032,040.42
  5. Step 5: Solve for x
    x = 74,432,032,040.42/311,104.85
  6. Step 6: Final answer
    x = 239,250.64

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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.