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Finding the Fourth Proportional to 298,067.65, 411,336.35 and 162,104.64

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Solution

The fourth proportional to 298,067.65, 411,336.35 and 162,104.64 is: 223,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,067.65 : 411,336.35 = 162,104.64 : x
  2. Step 2: Convert to fraction form
    298,067.65/411,336.35 = 162,104.64/x
  3. Step 3: Cross multiply
    298,067.65x = 411,336.35 × 162,104.64
  4. Step 4: Simplify right side
    298,067.65x = 66,679,531,960.21
  5. Step 5: Solve for x
    x = 66,679,531,960.21/298,067.65
  6. Step 6: Final answer
    x = 223,706.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.