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Finding the Fourth Proportional to 275,665, 380,389.35 and 154,805.31

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Solution

The fourth proportional to 275,665, 380,389.35 and 154,805.31 is: 213,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,665 : 380,389.35 = 154,805.31 : x
  2. Step 2: Convert to fraction form
    275,665/380,389.35 = 154,805.31/x
  3. Step 3: Cross multiply
    275,665x = 380,389.35 × 154,805.31
  4. Step 4: Simplify right side
    275,665x = 58,886,288,571.48
  5. Step 5: Solve for x
    x = 58,886,288,571.48/275,665
  6. Step 6: Final answer
    x = 213,615.40

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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.