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Finding the Fourth Proportional to 231,709.40, 346,980.90 and 221,211.80

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Solution

The fourth proportional to 231,709.40, 346,980.90 and 221,211.80 is: 331,260.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,709.40 : 346,980.90 = 221,211.80 : x
  2. Step 2: Convert to fraction form
    231,709.40/346,980.90 = 221,211.80/x
  3. Step 3: Cross multiply
    231,709.40x = 346,980.90 × 221,211.80
  4. Step 4: Simplify right side
    231,709.40x = 76,756,269,454.62
  5. Step 5: Solve for x
    x = 76,756,269,454.62/231,709.40
  6. Step 6: Final answer
    x = 331,260.92

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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.