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Finding the Fourth Proportional to 449,957.97, 675,268.52 and 213,299.73

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Solution

The fourth proportional to 449,957.97, 675,268.52 and 213,299.73 is: 320,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,957.97 : 675,268.52 = 213,299.73 : x
  2. Step 2: Convert to fraction form
    449,957.97/675,268.52 = 213,299.73/x
  3. Step 3: Cross multiply
    449,957.97x = 675,268.52 × 213,299.73
  4. Step 4: Simplify right side
    449,957.97x = 144,034,591,927.00
  5. Step 5: Solve for x
    x = 144,034,591,927.00/449,957.97
  6. Step 6: Final answer
    x = 320,106.77

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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.