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Finding the Fourth Proportional to 490,343.94, 734,145.54 and 264,896.67

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Solution

The fourth proportional to 490,343.94, 734,145.54 and 264,896.67 is: 396,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,343.94 : 734,145.54 = 264,896.67 : x
  2. Step 2: Convert to fraction form
    490,343.94/734,145.54 = 264,896.67/x
  3. Step 3: Cross multiply
    490,343.94x = 734,145.54 × 264,896.67
  4. Step 4: Simplify right side
    490,343.94x = 194,472,708,841.35
  5. Step 5: Solve for x
    x = 194,472,708,841.35/490,343.94
  6. Step 6: Final answer
    x = 396,604.70

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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.