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Finding the Fourth Proportional to 298,295.92, 411,648.42 and 164,159.92

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Solution

The fourth proportional to 298,295.92, 411,648.42 and 164,159.92 is: 226,540.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,295.92 : 411,648.42 = 164,159.92 : x
  2. Step 2: Convert to fraction form
    298,295.92/411,648.42 = 164,159.92/x
  3. Step 3: Cross multiply
    298,295.92x = 411,648.42 × 164,159.92
  4. Step 4: Simplify right side
    298,295.92x = 67,576,171,695.33
  5. Step 5: Solve for x
    x = 67,576,171,695.33/298,295.92
  6. Step 6: Final answer
    x = 226,540.72

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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.