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Finding the Fourth Proportional to 298,432.73, 411,833.08 and 162,467.85

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Solution

The fourth proportional to 298,432.73, 411,833.08 and 162,467.85 is: 224,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,432.73 : 411,833.08 = 162,467.85 : x
  2. Step 2: Convert to fraction form
    298,432.73/411,833.08 = 162,467.85/x
  3. Step 3: Cross multiply
    298,432.73x = 411,833.08 × 162,467.85
  4. Step 4: Simplify right side
    298,432.73x = 66,909,635,066.48
  5. Step 5: Solve for x
    x = 66,909,635,066.48/298,432.73
  6. Step 6: Final answer
    x = 224,203.41

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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.