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Finding the Fourth Proportional to 497,732.36, 686,871.34 and 271,377.86

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Solution

The fourth proportional to 497,732.36, 686,871.34 and 271,377.86 is: 374,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,732.36 : 686,871.34 = 271,377.86 : x
  2. Step 2: Convert to fraction form
    497,732.36/686,871.34 = 271,377.86/x
  3. Step 3: Cross multiply
    497,732.36x = 686,871.34 × 271,377.86
  4. Step 4: Simplify right side
    497,732.36x = 186,401,674,344.53
  5. Step 5: Solve for x
    x = 186,401,674,344.53/497,732.36
  6. Step 6: Final answer
    x = 374,501.82

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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.