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Finding the Fourth Proportional to 997,771, 1,496,669.46 and 332,923

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Solution

The fourth proportional to 997,771, 1,496,669.46 and 332,923 is: 499,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,771 : 1,496,669.46 = 332,923 : x
  2. Step 2: Convert to fraction form
    997,771/1,496,669.46 = 332,923/x
  3. Step 3: Cross multiply
    997,771x = 1,496,669.46 × 332,923
  4. Step 4: Simplify right side
    997,771x = 498,275,686,631.58
  5. Step 5: Solve for x
    x = 498,275,686,631.58/997,771
  6. Step 6: Final answer
    x = 499,388.82

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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.