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Finding the Fourth Proportional to 298,279.13, 411,625.26 and 164,143.13

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Solution

The fourth proportional to 298,279.13, 411,625.26 and 164,143.13 is: 226,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,279.13 : 411,625.26 = 164,143.13 : x
  2. Step 2: Convert to fraction form
    298,279.13/411,625.26 = 164,143.13/x
  3. Step 3: Cross multiply
    298,279.13x = 411,625.26 × 164,143.13
  4. Step 4: Simplify right side
    298,279.13x = 67,565,456,505.34
  5. Step 5: Solve for x
    x = 67,565,456,505.34/298,279.13
  6. Step 6: Final answer
    x = 226,517.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.