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Finding the Fourth Proportional to 497,616.12, 686,710.26 and 271,261.80

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Solution

The fourth proportional to 497,616.12, 686,710.26 and 271,261.80 is: 374,341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,616.12 : 686,710.26 = 271,261.80 : x
  2. Step 2: Convert to fraction form
    497,616.12/686,710.26 = 271,261.80/x
  3. Step 3: Cross multiply
    497,616.12x = 686,710.26 × 271,261.80
  4. Step 4: Simplify right side
    497,616.12x = 186,278,261,206.07
  5. Step 5: Solve for x
    x = 186,278,261,206.07/497,616.12
  6. Step 6: Final answer
    x = 374,341.29

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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.