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Finding the Fourth Proportional to 421,793.01, 582,074.37 and 230,806.40

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Solution

The fourth proportional to 421,793.01, 582,074.37 and 230,806.40 is: 318,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,793.01 : 582,074.37 = 230,806.40 : x
  2. Step 2: Convert to fraction form
    421,793.01/582,074.37 = 230,806.40/x
  3. Step 3: Cross multiply
    421,793.01x = 582,074.37 × 230,806.40
  4. Step 4: Simplify right side
    421,793.01x = 134,346,486,961.60
  5. Step 5: Solve for x
    x = 134,346,486,961.60/421,793.01
  6. Step 6: Final answer
    x = 318,512.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.