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Finding the Fourth Proportional to 421,987.38, 582,344.18 and 231,018.54

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Solution

The fourth proportional to 421,987.38, 582,344.18 and 231,018.54 is: 318,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,987.38 : 582,344.18 = 231,018.54 : x
  2. Step 2: Convert to fraction form
    421,987.38/582,344.18 = 231,018.54/x
  3. Step 3: Cross multiply
    421,987.38x = 582,344.18 × 231,018.54
  4. Step 4: Simplify right side
    421,987.38x = 134,532,301,086.01
  5. Step 5: Solve for x
    x = 134,532,301,086.01/421,987.38
  6. Step 6: Final answer
    x = 318,806.46

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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.