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Finding the Fourth Proportional to 421,771.88, 582,052.49 and 230,788.46

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Solution

The fourth proportional to 421,771.88, 582,052.49 and 230,788.46 is: 318,492.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,771.88 : 582,052.49 = 230,788.46 : x
  2. Step 2: Convert to fraction form
    421,771.88/582,052.49 = 230,788.46/x
  3. Step 3: Cross multiply
    421,771.88x = 582,052.49 × 230,788.46
  4. Step 4: Simplify right side
    421,771.88x = 134,330,993,742.06
  5. Step 5: Solve for x
    x = 134,330,993,742.06/421,771.88
  6. Step 6: Final answer
    x = 318,492.06

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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.