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Finding the Fourth Proportional to 998,539, 1,497,808.50 and 333,691

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Solution

The fourth proportional to 998,539, 1,497,808.50 and 333,691 is: 500,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    998,539 : 1,497,808.50 = 333,691 : x
  2. Step 2: Convert to fraction form
    998,539/1,497,808.50 = 333,691/x
  3. Step 3: Cross multiply
    998,539x = 1,497,808.50 × 333,691
  4. Step 4: Simplify right side
    998,539x = 499,805,216,173.50
  5. Step 5: Solve for x
    x = 499,805,216,173.50/998,539
  6. Step 6: Final answer
    x = 500,536.50

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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.