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Finding the Fourth Proportional to 298,196.11, 411,511.61 and 162,230.03

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Solution

The fourth proportional to 298,196.11, 411,511.61 and 162,230.03 is: 223,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,196.11 : 411,511.61 = 162,230.03 : x
  2. Step 2: Convert to fraction form
    298,196.11/411,511.61 = 162,230.03/x
  3. Step 3: Cross multiply
    298,196.11x = 411,511.61 × 162,230.03
  4. Step 4: Simplify right side
    298,196.11x = 66,759,540,835.65
  5. Step 5: Solve for x
    x = 66,759,540,835.65/298,196.11
  6. Step 6: Final answer
    x = 223,877.97

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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.