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Finding the Fourth Proportional to 324,231.60, 486,232.20 and 146,823.60

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Solution

The fourth proportional to 324,231.60, 486,232.20 and 146,823.60 is: 220,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,231.60 : 486,232.20 = 146,823.60 : x
  2. Step 2: Convert to fraction form
    324,231.60/486,232.20 = 146,823.60/x
  3. Step 3: Cross multiply
    324,231.60x = 486,232.20 × 146,823.60
  4. Step 4: Simplify right side
    324,231.60x = 71,390,362,039.92
  5. Step 5: Solve for x
    x = 71,390,362,039.92/324,231.60
  6. Step 6: Final answer
    x = 220,183.23

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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.