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Finding the Fourth Proportional to 997,770, 1,496,667.96 and 332,922

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Solution

The fourth proportional to 997,770, 1,496,667.96 and 332,922 is: 499,387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,770 : 1,496,667.96 = 332,922 : x
  2. Step 2: Convert to fraction form
    997,770/1,496,667.96 = 332,922/x
  3. Step 3: Cross multiply
    997,770x = 1,496,667.96 × 332,922
  4. Step 4: Simplify right side
    997,770x = 498,273,690,579.12
  5. Step 5: Solve for x
    x = 498,273,690,579.12/997,770
  6. Step 6: Final answer
    x = 499,387.32

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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.