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Finding the Fourth Proportional to 298,098.54, 411,375.69 and 170,774.64

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Solution

The fourth proportional to 298,098.54, 411,375.69 and 170,774.64 is: 235,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,098.54 : 411,375.69 = 170,774.64 : x
  2. Step 2: Convert to fraction form
    298,098.54/411,375.69 = 170,774.64/x
  3. Step 3: Cross multiply
    298,098.54x = 411,375.69 × 170,774.64
  4. Step 4: Simplify right side
    298,098.54x = 70,252,535,364.50
  5. Step 5: Solve for x
    x = 70,252,535,364.50/298,098.54
  6. Step 6: Final answer
    x = 235,668.83

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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.