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Finding the Fourth Proportional to 299,678.40, 449,517.60 and 166,494.96

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Solution

The fourth proportional to 299,678.40, 449,517.60 and 166,494.96 is: 249,742.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,678.40 : 449,517.60 = 166,494.96 : x
  2. Step 2: Convert to fraction form
    299,678.40/449,517.60 = 166,494.96/x
  3. Step 3: Cross multiply
    299,678.40x = 449,517.60 × 166,494.96
  4. Step 4: Simplify right side
    299,678.40x = 74,842,414,831.30
  5. Step 5: Solve for x
    x = 74,842,414,831.30/299,678.40
  6. Step 6: Final answer
    x = 249,742.44

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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.