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Finding the Fourth Proportional to 275,823, 380,640.78 and 153,326.88

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Solution

The fourth proportional to 275,823, 380,640.78 and 153,326.88 is: 211,593.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,823 : 380,640.78 = 153,326.88 : x
  2. Step 2: Convert to fraction form
    275,823/380,640.78 = 153,326.88/x
  3. Step 3: Cross multiply
    275,823x = 380,640.78 × 153,326.88
  4. Step 4: Simplify right side
    275,823x = 58,362,463,198.17
  5. Step 5: Solve for x
    x = 58,362,463,198.17/275,823
  6. Step 6: Final answer
    x = 211,593.90

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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.