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Finding the Fourth Proportional to 998,532, 1,497,798 and 333,684

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Solution

The fourth proportional to 998,532, 1,497,798 and 333,684 is: 500,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,532 : 1,497,798 = 333,684 : x
  2. Step 2: Convert to fraction form
    998,532/1,497,798 = 333,684/x
  3. Step 3: Cross multiply
    998,532x = 1,497,798 × 333,684
  4. Step 4: Simplify right side
    998,532x = 499,791,227,832
  5. Step 5: Solve for x
    x = 499,791,227,832/998,532
  6. Step 6: Final answer
    x = 500,526

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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.