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Finding the Fourth Proportional to 271,853.10, 407,002.05 and 271,853.10

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Solution

The fourth proportional to 271,853.10, 407,002.05 and 271,853.10 is: 407,002.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,853.10 : 407,002.05 = 271,853.10 : x
  2. Step 2: Convert to fraction form
    271,853.10/407,002.05 = 271,853.10/x
  3. Step 3: Cross multiply
    271,853.10x = 407,002.05 × 271,853.10
  4. Step 4: Simplify right side
    271,853.10x = 110,644,768,998.86
  5. Step 5: Solve for x
    x = 110,644,768,998.86/271,853.10
  6. Step 6: Final answer
    x = 407,002.05

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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.