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Finding the Fourth Proportional to 421,794.69, 582,076.58 and 230,808.03

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Solution

The fourth proportional to 421,794.69, 582,076.58 and 230,808.03 is: 318,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,794.69 : 582,076.58 = 230,808.03 : x
  2. Step 2: Convert to fraction form
    421,794.69/582,076.58 = 230,808.03/x
  3. Step 3: Cross multiply
    421,794.69x = 582,076.58 × 230,808.03
  4. Step 4: Simplify right side
    421,794.69x = 134,347,947,584.90
  5. Step 5: Solve for x
    x = 134,347,947,584.90/421,794.69
  6. Step 6: Final answer
    x = 318,515.03

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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.