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Finding the Fourth Proportional to 497,652.84, 686,757.42 and 271,299.96

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Solution

The fourth proportional to 497,652.84, 686,757.42 and 271,299.96 is: 374,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,652.84 : 686,757.42 = 271,299.96 : x
  2. Step 2: Convert to fraction form
    497,652.84/686,757.42 = 271,299.96/x
  3. Step 3: Cross multiply
    497,652.84x = 686,757.42 × 271,299.96
  4. Step 4: Simplify right side
    497,652.84x = 186,317,260,575.70
  5. Step 5: Solve for x
    x = 186,317,260,575.70/497,652.84
  6. Step 6: Final answer
    x = 374,392.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.