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Finding the Fourth Proportional to 299,231.40, 448,623.90 and 180,877.80

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Solution

The fourth proportional to 299,231.40, 448,623.90 and 180,877.80 is: 271,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,231.40 : 448,623.90 = 180,877.80 : x
  2. Step 2: Convert to fraction form
    299,231.40/448,623.90 = 180,877.80/x
  3. Step 3: Cross multiply
    299,231.40x = 448,623.90 × 180,877.80
  4. Step 4: Simplify right side
    299,231.40x = 81,146,104,059.42
  5. Step 5: Solve for x
    x = 81,146,104,059.42/299,231.40
  6. Step 6: Final answer
    x = 271,181.78

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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.