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Finding the Fourth Proportional to 599,288.49, 827,020.94 and 327,360.15

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Solution

The fourth proportional to 599,288.49, 827,020.94 and 327,360.15 is: 451,758.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,288.49 : 827,020.94 = 327,360.15 : x
  2. Step 2: Convert to fraction form
    599,288.49/827,020.94 = 327,360.15/x
  3. Step 3: Cross multiply
    599,288.49x = 827,020.94 × 327,360.15
  4. Step 4: Simplify right side
    599,288.49x = 270,733,697,334.74
  5. Step 5: Solve for x
    x = 270,733,697,334.74/599,288.49
  6. Step 6: Final answer
    x = 451,758.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.