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Finding the Fourth Proportional to 421,948.64, 582,289.98 and 230,974.22

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Solution

The fourth proportional to 421,948.64, 582,289.98 and 230,974.22 is: 318,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,948.64 : 582,289.98 = 230,974.22 : x
  2. Step 2: Convert to fraction form
    421,948.64/582,289.98 = 230,974.22/x
  3. Step 3: Cross multiply
    421,948.64x = 582,289.98 × 230,974.22
  4. Step 4: Simplify right side
    421,948.64x = 134,493,973,944.32
  5. Step 5: Solve for x
    x = 134,493,973,944.32/421,948.64
  6. Step 6: Final answer
    x = 318,744.89

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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.