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Finding the Fourth Proportional to 271,704.80, 407,864.40 and 209,650.40

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Solution

The fourth proportional to 271,704.80, 407,864.40 and 209,650.40 is: 314,712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,704.80 : 407,864.40 = 209,650.40 : x
  2. Step 2: Convert to fraction form
    271,704.80/407,864.40 = 209,650.40/x
  3. Step 3: Cross multiply
    271,704.80x = 407,864.40 × 209,650.40
  4. Step 4: Simplify right side
    271,704.80x = 85,508,934,605.76
  5. Step 5: Solve for x
    x = 85,508,934,605.76/271,704.80
  6. Step 6: Final answer
    x = 314,712.64

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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.