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Finding the Fourth Proportional to 298,235.25, 411,564.65 and 164,099.25

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Solution

The fourth proportional to 298,235.25, 411,564.65 and 164,099.25 is: 226,456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,235.25 : 411,564.65 = 164,099.25 : x
  2. Step 2: Convert to fraction form
    298,235.25/411,564.65 = 164,099.25/x
  3. Step 3: Cross multiply
    298,235.25x = 411,564.65 × 164,099.25
  4. Step 4: Simplify right side
    298,235.25x = 67,537,449,571.02
  5. Step 5: Solve for x
    x = 67,537,449,571.02/298,235.25
  6. Step 6: Final answer
    x = 226,456.97

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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.