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Finding the Fourth Proportional to 299,083.44, 449,276.40 and 180,810.48

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Solution

The fourth proportional to 299,083.44, 449,276.40 and 180,810.48 is: 271,609.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,083.44 : 449,276.40 = 180,810.48 : x
  2. Step 2: Convert to fraction form
    299,083.44/449,276.40 = 180,810.48/x
  3. Step 3: Cross multiply
    299,083.44x = 449,276.40 × 180,810.48
  4. Step 4: Simplify right side
    299,083.44x = 81,233,881,536.67
  5. Step 5: Solve for x
    x = 81,233,881,536.67/299,083.44
  6. Step 6: Final answer
    x = 271,609.43

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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.