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Finding the Fourth Proportional to 325,682.60, 449,441.30 and 180,497.66

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Solution

The fourth proportional to 325,682.60, 449,441.30 and 180,497.66 is: 249,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,682.60 : 449,441.30 = 180,497.66 : x
  2. Step 2: Convert to fraction form
    325,682.60/449,441.30 = 180,497.66/x
  3. Step 3: Cross multiply
    325,682.60x = 449,441.30 × 180,497.66
  4. Step 4: Simplify right side
    325,682.60x = 81,123,102,957.36
  5. Step 5: Solve for x
    x = 81,123,102,957.36/325,682.60
  6. Step 6: Final answer
    x = 249,086.39

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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.