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Finding the Fourth Proportional to 493,737.48, 739,614.54 and 227,127.24

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Solution

The fourth proportional to 493,737.48, 739,614.54 and 227,127.24 is: 340,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,737.48 : 739,614.54 = 227,127.24 : x
  2. Step 2: Convert to fraction form
    493,737.48/739,614.54 = 227,127.24/x
  3. Step 3: Cross multiply
    493,737.48x = 739,614.54 × 227,127.24
  4. Step 4: Simplify right side
    493,737.48x = 167,986,609,134.07
  5. Step 5: Solve for x
    x = 167,986,609,134.07/493,737.48
  6. Step 6: Final answer
    x = 340,234.67

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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.