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Finding the Fourth Proportional to 271,832.10, 407,748.15 and 215,844.90

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Solution

The fourth proportional to 271,832.10, 407,748.15 and 215,844.90 is: 323,767.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,832.10 : 407,748.15 = 215,844.90 : x
  2. Step 2: Convert to fraction form
    271,832.10/407,748.15 = 215,844.90/x
  3. Step 3: Cross multiply
    271,832.10x = 407,748.15 × 215,844.90
  4. Step 4: Simplify right side
    271,832.10x = 88,010,358,661.94
  5. Step 5: Solve for x
    x = 88,010,358,661.94/271,832.10
  6. Step 6: Final answer
    x = 323,767.35

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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.