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Finding the Fourth Proportional to 497,654.34, 686,759.49 and 271,301.46

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Solution

The fourth proportional to 497,654.34, 686,759.49 and 271,301.46 is: 374,394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,654.34 : 686,759.49 = 271,301.46 : x
  2. Step 2: Convert to fraction form
    497,654.34/686,759.49 = 271,301.46/x
  3. Step 3: Cross multiply
    497,654.34x = 686,759.49 × 271,301.46
  4. Step 4: Simplify right side
    497,654.34x = 186,318,852,305.86
  5. Step 5: Solve for x
    x = 186,318,852,305.86/497,654.34
  6. Step 6: Final answer
    x = 374,394.11

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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.