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Finding the Fourth Proportional to 500,698.49, 690,963.03 and 271,261.56

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Solution

The fourth proportional to 500,698.49, 690,963.03 and 271,261.56 is: 374,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,698.49 : 690,963.03 = 271,261.56 : x
  2. Step 2: Convert to fraction form
    500,698.49/690,963.03 = 271,261.56/x
  3. Step 3: Cross multiply
    500,698.49x = 690,963.03 × 271,261.56
  4. Step 4: Simplify right side
    500,698.49x = 187,431,709,420.13
  5. Step 5: Solve for x
    x = 187,431,709,420.13/500,698.49
  6. Step 6: Final answer
    x = 374,340.48

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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.