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Finding the Fourth Proportional to 463,525.56, 694,099.26 and 321,168.60

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Solution

The fourth proportional to 463,525.56, 694,099.26 and 321,168.60 is: 480,929.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,525.56 : 694,099.26 = 321,168.60 : x
  2. Step 2: Convert to fraction form
    463,525.56/694,099.26 = 321,168.60/x
  3. Step 3: Cross multiply
    463,525.56x = 694,099.26 × 321,168.60
  4. Step 4: Simplify right side
    463,525.56x = 222,922,887,595.24
  5. Step 5: Solve for x
    x = 222,922,887,595.24/463,525.56
  6. Step 6: Final answer
    x = 480,929.01

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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.