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Finding the Fourth Proportional to 421,742.89, 582,004.24 and 230,755.87

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Solution

The fourth proportional to 421,742.89, 582,004.24 and 230,755.87 is: 318,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,742.89 : 582,004.24 = 230,755.87 : x
  2. Step 2: Convert to fraction form
    421,742.89/582,004.24 = 230,755.87/x
  3. Step 3: Cross multiply
    421,742.89x = 582,004.24 × 230,755.87
  4. Step 4: Simplify right side
    421,742.89x = 134,300,894,744.89
  5. Step 5: Solve for x
    x = 134,300,894,744.89/421,742.89
  6. Step 6: Final answer
    x = 318,442.58

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