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Finding the Fourth Proportional to 421,801.44, 582,086.03 and 230,814.86

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Solution

The fourth proportional to 421,801.44, 582,086.03 and 230,814.86 is: 318,524.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,801.44 : 582,086.03 = 230,814.86 : x
  2. Step 2: Convert to fraction form
    421,801.44/582,086.03 = 230,814.86/x
  3. Step 3: Cross multiply
    421,801.44x = 582,086.03 × 230,814.86
  4. Step 4: Simplify right side
    421,801.44x = 134,354,101,457.90
  5. Step 5: Solve for x
    x = 134,354,101,457.90/421,801.44
  6. Step 6: Final answer
    x = 318,524.52

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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.