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Finding the Fourth Proportional to 1,294,723, 1,942,084.50 and 408,259

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Solution

The fourth proportional to 1,294,723, 1,942,084.50 and 408,259 is: 612,388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294,723 : 1,942,084.50 = 408,259 : x
  2. Step 2: Convert to fraction form
    1,294,723/1,942,084.50 = 408,259/x
  3. Step 3: Cross multiply
    1,294,723x = 1,942,084.50 × 408,259
  4. Step 4: Simplify right side
    1,294,723x = 792,873,475,885.50
  5. Step 5: Solve for x
    x = 792,873,475,885.50/1,294,723
  6. Step 6: Final answer
    x = 612,388.50

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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.