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Finding the Fourth Proportional to 998,542, 1,497,813 and 333,694

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Solution

The fourth proportional to 998,542, 1,497,813 and 333,694 is: 500,541

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,542 : 1,497,813 = 333,694 : x
  2. Step 2: Convert to fraction form
    998,542/1,497,813 = 333,694/x
  3. Step 3: Cross multiply
    998,542x = 1,497,813 × 333,694
  4. Step 4: Simplify right side
    998,542x = 499,811,211,222
  5. Step 5: Solve for x
    x = 499,811,211,222/998,542
  6. Step 6: Final answer
    x = 500,541

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.