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Finding the Fourth Proportional to 460,202.30, 690,021.57 and 179,391.50

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Solution

The fourth proportional to 460,202.30, 690,021.57 and 179,391.50 is: 268,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,202.30 : 690,021.57 = 179,391.50 : x
  2. Step 2: Convert to fraction form
    460,202.30/690,021.57 = 179,391.50/x
  3. Step 3: Cross multiply
    460,202.30x = 690,021.57 × 179,391.50
  4. Step 4: Simplify right side
    460,202.30x = 123,784,004,474.66
  5. Step 5: Solve for x
    x = 123,784,004,474.66/460,202.30
  6. Step 6: Final answer
    x = 268,977.37

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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.