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Finding the Fourth Proportional to 997,772, 1,496,670.96 and 332,924

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Solution

The fourth proportional to 997,772, 1,496,670.96 and 332,924 is: 499,390.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,772 : 1,496,670.96 = 332,924 : x
  2. Step 2: Convert to fraction form
    997,772/1,496,670.96 = 332,924/x
  3. Step 3: Cross multiply
    997,772x = 1,496,670.96 × 332,924
  4. Step 4: Simplify right side
    997,772x = 498,277,682,687.04
  5. Step 5: Solve for x
    x = 498,277,682,687.04/997,772
  6. Step 6: Final answer
    x = 499,390.32

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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.