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Finding the Fourth Proportional to 299,632.60, 449,967.30 and 159,664.60

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Solution

The fourth proportional to 299,632.60, 449,967.30 and 159,664.60 is: 239,773.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,632.60 : 449,967.30 = 159,664.60 : x
  2. Step 2: Convert to fraction form
    299,632.60/449,967.30 = 159,664.60/x
  3. Step 3: Cross multiply
    299,632.60x = 449,967.30 × 159,664.60
  4. Step 4: Simplify right side
    299,632.60x = 71,843,848,967.58
  5. Step 5: Solve for x
    x = 71,843,848,967.58/299,632.60
  6. Step 6: Final answer
    x = 239,773.14

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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.