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Finding the Fourth Proportional to 298,115.80, 411,458.22 and 170,876.60

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Solution

The fourth proportional to 298,115.80, 411,458.22 and 170,876.60 is: 235,843.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,115.80 : 411,458.22 = 170,876.60 : x
  2. Step 2: Convert to fraction form
    298,115.80/411,458.22 = 170,876.60/x
  3. Step 3: Cross multiply
    298,115.80x = 411,458.22 × 170,876.60
  4. Step 4: Simplify right side
    298,115.80x = 70,308,581,675.65
  5. Step 5: Solve for x
    x = 70,308,581,675.65/298,115.80
  6. Step 6: Final answer
    x = 235,843.19

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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.