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Finding the Fourth Proportional to 271,766.20, 405,819.28 and 221,945.20

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Solution

The fourth proportional to 271,766.20, 405,819.28 and 221,945.20 is: 331,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,766.20 : 405,819.28 = 221,945.20 : x
  2. Step 2: Convert to fraction form
    271,766.20/405,819.28 = 221,945.20/x
  3. Step 3: Cross multiply
    271,766.20x = 405,819.28 × 221,945.20
  4. Step 4: Simplify right side
    271,766.20x = 90,069,641,263.46
  5. Step 5: Solve for x
    x = 90,069,641,263.46/271,766.20
  6. Step 6: Final answer
    x = 331,423.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.