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Finding the Fourth Proportional to 403,162.85, 604,697.49 and 150,452.16

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Solution

The fourth proportional to 403,162.85, 604,697.49 and 150,452.16 is: 225,660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,162.85 : 604,697.49 = 150,452.16 : x
  2. Step 2: Convert to fraction form
    403,162.85/604,697.49 = 150,452.16/x
  3. Step 3: Cross multiply
    403,162.85x = 604,697.49 × 150,452.16
  4. Step 4: Simplify right side
    403,162.85x = 90,978,043,517.08
  5. Step 5: Solve for x
    x = 90,978,043,517.08/403,162.85
  6. Step 6: Final answer
    x = 225,660.78

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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.