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Finding the Fourth Proportional to 271,682.60, 407,523.90 and 215,695.40

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Solution

The fourth proportional to 271,682.60, 407,523.90 and 215,695.40 is: 323,543.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,682.60 : 407,523.90 = 215,695.40 : x
  2. Step 2: Convert to fraction form
    271,682.60/407,523.90 = 215,695.40/x
  3. Step 3: Cross multiply
    271,682.60x = 407,523.90 × 215,695.40
  4. Step 4: Simplify right side
    271,682.60x = 87,901,030,620.06
  5. Step 5: Solve for x
    x = 87,901,030,620.06/271,682.60
  6. Step 6: Final answer
    x = 323,543.10

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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.