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Finding the Fourth Proportional to 311,676.70, 467,541.57 and 98,387.55

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Solution

The fourth proportional to 311,676.70, 467,541.57 and 98,387.55 is: 147,589.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,676.70 : 467,541.57 = 98,387.55 : x
  2. Step 2: Convert to fraction form
    311,676.70/467,541.57 = 98,387.55/x
  3. Step 3: Cross multiply
    311,676.70x = 467,541.57 × 98,387.55
  4. Step 4: Simplify right side
    311,676.70x = 46,000,269,410.98
  5. Step 5: Solve for x
    x = 46,000,269,410.98/311,676.70
  6. Step 6: Final answer
    x = 147,589.70

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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.