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Finding the Fourth Proportional to 299,452.52, 448,671.24 and 180,874.74

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Solution

The fourth proportional to 299,452.52, 448,671.24 and 180,874.74 is: 271,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,452.52 : 448,671.24 = 180,874.74 : x
  2. Step 2: Convert to fraction form
    299,452.52/448,671.24 = 180,874.74/x
  3. Step 3: Cross multiply
    299,452.52x = 448,671.24 × 180,874.74
  4. Step 4: Simplify right side
    299,452.52x = 81,153,293,880.48
  5. Step 5: Solve for x
    x = 81,153,293,880.48/299,452.52
  6. Step 6: Final answer
    x = 271,005.55

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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.