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Finding the Fourth Proportional to 299,176.40, 448,541.40 and 180,822.80

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Solution

The fourth proportional to 299,176.40, 448,541.40 and 180,822.80 is: 271,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,176.40 : 448,541.40 = 180,822.80 : x
  2. Step 2: Convert to fraction form
    299,176.40/448,541.40 = 180,822.80/x
  3. Step 3: Cross multiply
    299,176.40x = 448,541.40 × 180,822.80
  4. Step 4: Simplify right side
    299,176.40x = 81,106,511,863.92
  5. Step 5: Solve for x
    x = 81,106,511,863.92/299,176.40
  6. Step 6: Final answer
    x = 271,099.30

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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.