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Finding the Fourth Proportional to 299,704.60, 448,973.70 and 181,023.40

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Solution

The fourth proportional to 299,704.60, 448,973.70 and 181,023.40 is: 271,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,704.60 : 448,973.70 = 181,023.40 : x
  2. Step 2: Convert to fraction form
    299,704.60/448,973.70 = 181,023.40/x
  3. Step 3: Cross multiply
    299,704.60x = 448,973.70 × 181,023.40
  4. Step 4: Simplify right side
    299,704.60x = 81,274,745,684.58
  5. Step 5: Solve for x
    x = 81,274,745,684.58/299,704.60
  6. Step 6: Final answer
    x = 271,182.84

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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.