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Finding the Fourth Proportional to 489,311.60, 733,967.40 and 279,359.60

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Solution

The fourth proportional to 489,311.60, 733,967.40 and 279,359.60 is: 419,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,311.60 : 733,967.40 = 279,359.60 : x
  2. Step 2: Convert to fraction form
    489,311.60/733,967.40 = 279,359.60/x
  3. Step 3: Cross multiply
    489,311.60x = 733,967.40 × 279,359.60
  4. Step 4: Simplify right side
    489,311.60x = 205,040,839,277.04
  5. Step 5: Solve for x
    x = 205,040,839,277.04/489,311.60
  6. Step 6: Final answer
    x = 419,039.40

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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.