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Finding the Fourth Proportional to 231,856.85, 321,599.41 and 225,711.38

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Solution

The fourth proportional to 231,856.85, 321,599.41 and 225,711.38 is: 313,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,856.85 : 321,599.41 = 225,711.38 : x
  2. Step 2: Convert to fraction form
    231,856.85/321,599.41 = 225,711.38/x
  3. Step 3: Cross multiply
    231,856.85x = 321,599.41 × 225,711.38
  4. Step 4: Simplify right side
    231,856.85x = 72,588,646,638.29
  5. Step 5: Solve for x
    x = 72,588,646,638.29/231,856.85
  6. Step 6: Final answer
    x = 313,075.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.