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Finding the Fourth Proportional to 421,814.03, 582,103.41 and 230,827.43

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Solution

The fourth proportional to 421,814.03, 582,103.41 and 230,827.43 is: 318,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,814.03 : 582,103.41 = 230,827.43 : x
  2. Step 2: Convert to fraction form
    421,814.03/582,103.41 = 230,827.43/x
  3. Step 3: Cross multiply
    421,814.03x = 582,103.41 × 230,827.43
  4. Step 4: Simplify right side
    421,814.03x = 134,365,434,124.54
  5. Step 5: Solve for x
    x = 134,365,434,124.54/421,814.03
  6. Step 6: Final answer
    x = 318,541.88

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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.