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Finding the Fourth Proportional to 456,060.96, 684,103.20 and 216,118.56

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Solution

The fourth proportional to 456,060.96, 684,103.20 and 216,118.56 is: 324,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,060.96 : 684,103.20 = 216,118.56 : x
  2. Step 2: Convert to fraction form
    456,060.96/684,103.20 = 216,118.56/x
  3. Step 3: Cross multiply
    456,060.96x = 684,103.20 × 216,118.56
  4. Step 4: Simplify right side
    456,060.96x = 147,847,398,475.39
  5. Step 5: Solve for x
    x = 147,847,398,475.39/456,060.96
  6. Step 6: Final answer
    x = 324,183.41

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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.