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Finding the Fourth Proportional to 514,163.70, 771,403.10 and 230,093.37

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Solution

The fourth proportional to 514,163.70, 771,403.10 and 230,093.37 is: 345,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,163.70 : 771,403.10 = 230,093.37 : x
  2. Step 2: Convert to fraction form
    514,163.70/771,403.10 = 230,093.37/x
  3. Step 3: Cross multiply
    514,163.70x = 771,403.10 × 230,093.37
  4. Step 4: Simplify right side
    514,163.70x = 177,494,737,756.98
  5. Step 5: Solve for x
    x = 177,494,737,756.98/514,163.70
  6. Step 6: Final answer
    x = 345,210.56

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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.