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Finding the Fourth Proportional to 271,877.40, 407,816.10 and 165,589.20

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Solution

The fourth proportional to 271,877.40, 407,816.10 and 165,589.20 is: 248,383.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,877.40 : 407,816.10 = 165,589.20 : x
  2. Step 2: Convert to fraction form
    271,877.40/407,816.10 = 165,589.20/x
  3. Step 3: Cross multiply
    271,877.40x = 407,816.10 × 165,589.20
  4. Step 4: Simplify right side
    271,877.40x = 67,529,941,746.12
  5. Step 5: Solve for x
    x = 67,529,941,746.12/271,877.40
  6. Step 6: Final answer
    x = 248,383.80

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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.