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Finding the Fourth Proportional to 322,571.16, 483,856.74 and 154,095.48

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Solution

The fourth proportional to 322,571.16, 483,856.74 and 154,095.48 is: 231,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,571.16 : 483,856.74 = 154,095.48 : x
  2. Step 2: Convert to fraction form
    322,571.16/483,856.74 = 154,095.48/x
  3. Step 3: Cross multiply
    322,571.16x = 483,856.74 × 154,095.48
  4. Step 4: Simplify right side
    322,571.16x = 74,560,136,601.54
  5. Step 5: Solve for x
    x = 74,560,136,601.54/322,571.16
  6. Step 6: Final answer
    x = 231,143.22

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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.