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Finding the Fourth Proportional to 300,383.40, 414,522.80 and 164,414.20

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Solution

The fourth proportional to 300,383.40, 414,522.80 and 164,414.20 is: 226,888.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,383.40 : 414,522.80 = 164,414.20 : x
  2. Step 2: Convert to fraction form
    300,383.40/414,522.80 = 164,414.20/x
  3. Step 3: Cross multiply
    300,383.40x = 414,522.80 × 164,414.20
  4. Step 4: Simplify right side
    300,383.40x = 68,153,434,543.76
  5. Step 5: Solve for x
    x = 68,153,434,543.76/300,383.40
  6. Step 6: Final answer
    x = 226,888.15

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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.