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Finding the Fourth Proportional to 421,768.26, 582,049.62 and 230,781.60

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Solution

The fourth proportional to 421,768.26, 582,049.62 and 230,781.60 is: 318,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,768.26 : 582,049.62 = 230,781.60 : x
  2. Step 2: Convert to fraction form
    421,768.26/582,049.62 = 230,781.60/x
  3. Step 3: Cross multiply
    421,768.26x = 582,049.62 × 230,781.60
  4. Step 4: Simplify right side
    421,768.26x = 134,326,342,582.99
  5. Step 5: Solve for x
    x = 134,326,342,582.99/421,768.26
  6. Step 6: Final answer
    x = 318,483.76

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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.