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Finding the Fourth Proportional to 475,311.46, 655,684.47 and 322,297.87

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Solution

The fourth proportional to 475,311.46, 655,684.47 and 322,297.87 is: 444,604.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,311.46 : 655,684.47 = 322,297.87 : x
  2. Step 2: Convert to fraction form
    475,311.46/655,684.47 = 322,297.87/x
  3. Step 3: Cross multiply
    475,311.46x = 655,684.47 × 322,297.87
  4. Step 4: Simplify right side
    475,311.46x = 211,325,703,183.17
  5. Step 5: Solve for x
    x = 211,325,703,183.17/475,311.46
  6. Step 6: Final answer
    x = 444,604.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.