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Finding the Fourth Proportional to 325,896.82, 449,729.92 and 180,701.89

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Solution

The fourth proportional to 325,896.82, 449,729.92 and 180,701.89 is: 249,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,896.82 : 449,729.92 = 180,701.89 : x
  2. Step 2: Convert to fraction form
    325,896.82/449,729.92 = 180,701.89/x
  3. Step 3: Cross multiply
    325,896.82x = 449,729.92 × 180,701.89
  4. Step 4: Simplify right side
    325,896.82x = 81,267,045,635.10
  5. Step 5: Solve for x
    x = 81,267,045,635.10/325,896.82
  6. Step 6: Final answer
    x = 249,364.34

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Why These Related Problems?

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