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Finding the Fourth Proportional to 263,400.30, 393,934.05 and 221,409.90

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Solution

The fourth proportional to 263,400.30, 393,934.05 and 221,409.90 is: 331,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,400.30 : 393,934.05 = 221,409.90 : x
  2. Step 2: Convert to fraction form
    263,400.30/393,934.05 = 221,409.90/x
  3. Step 3: Cross multiply
    263,400.30x = 393,934.05 × 221,409.90
  4. Step 4: Simplify right side
    263,400.30x = 87,220,898,617.10
  5. Step 5: Solve for x
    x = 87,220,898,617.10/263,400.30
  6. Step 6: Final answer
    x = 331,134.39

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