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Finding the Fourth Proportional to 297,490.14, 410,189.67 and 221,907.42

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Solution

The fourth proportional to 297,490.14, 410,189.67 and 221,907.42 is: 305,973.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,490.14 : 410,189.67 = 221,907.42 : x
  2. Step 2: Convert to fraction form
    297,490.14/410,189.67 = 221,907.42/x
  3. Step 3: Cross multiply
    297,490.14x = 410,189.67 × 221,907.42
  4. Step 4: Simplify right side
    297,490.14x = 91,024,131,380.35
  5. Step 5: Solve for x
    x = 91,024,131,380.35/297,490.14
  6. Step 6: Final answer
    x = 305,973.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.