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Finding the Fourth Proportional to 456,144.96, 684,229.44 and 216,202.56

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Solution

The fourth proportional to 456,144.96, 684,229.44 and 216,202.56 is: 324,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,144.96 : 684,229.44 = 216,202.56 : x
  2. Step 2: Convert to fraction form
    456,144.96/684,229.44 = 216,202.56/x
  3. Step 3: Cross multiply
    456,144.96x = 684,229.44 × 216,202.56
  4. Step 4: Simplify right side
    456,144.96x = 147,932,156,555.37
  5. Step 5: Solve for x
    x = 147,932,156,555.37/456,144.96
  6. Step 6: Final answer
    x = 324,309.53

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1.5x scale

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.