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Finding the Fourth Proportional to 271,695.94, 407,013.74 and 177,917.38

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Solution

The fourth proportional to 271,695.94, 407,013.74 and 177,917.38 is: 266,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,695.94 : 407,013.74 = 177,917.38 : x
  2. Step 2: Convert to fraction form
    271,695.94/407,013.74 = 177,917.38/x
  3. Step 3: Cross multiply
    271,695.94x = 407,013.74 × 177,917.38
  4. Step 4: Simplify right side
    271,695.94x = 72,414,816,209.73
  5. Step 5: Solve for x
    x = 72,414,816,209.73/271,695.94
  6. Step 6: Final answer
    x = 266,528.89

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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.