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Finding the Fourth Proportional to 299,301.90, 448,974.45 and 180,717.90

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Solution

The fourth proportional to 299,301.90, 448,974.45 and 180,717.90 is: 271,089.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,301.90 : 448,974.45 = 180,717.90 : x
  2. Step 2: Convert to fraction form
    299,301.90/448,974.45 = 180,717.90/x
  3. Step 3: Cross multiply
    299,301.90x = 448,974.45 × 180,717.90
  4. Step 4: Simplify right side
    299,301.90x = 81,137,719,757.66
  5. Step 5: Solve for x
    x = 81,137,719,757.66/299,301.90
  6. Step 6: Final answer
    x = 271,089.89

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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.