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Finding the Fourth Proportional to 281,927.88, 422,894.57 and 225,694.67

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Solution

The fourth proportional to 281,927.88, 422,894.57 and 225,694.67 is: 338,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,927.88 : 422,894.57 = 225,694.67 : x
  2. Step 2: Convert to fraction form
    281,927.88/422,894.57 = 225,694.67/x
  3. Step 3: Cross multiply
    281,927.88x = 422,894.57 × 225,694.67
  4. Step 4: Simplify right side
    281,927.88x = 95,445,047,178.00
  5. Step 5: Solve for x
    x = 95,445,047,178.00/281,927.88
  6. Step 6: Final answer
    x = 338,544.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.