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Finding the Fourth Proportional to 543,576.87, 815,411.57 and 164,500.83

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Solution

The fourth proportional to 543,576.87, 815,411.57 and 164,500.83 is: 246,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,576.87 : 815,411.57 = 164,500.83 : x
  2. Step 2: Convert to fraction form
    543,576.87/815,411.57 = 164,500.83/x
  3. Step 3: Cross multiply
    543,576.87x = 815,411.57 × 164,500.83
  4. Step 4: Simplify right side
    543,576.87x = 134,135,879,234.10
  5. Step 5: Solve for x
    x = 134,135,879,234.10/543,576.87
  6. Step 6: Final answer
    x = 246,765.24

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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.