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Finding the Fourth Proportional to 331,353, 497,029.50 and 82,035

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Solution

The fourth proportional to 331,353, 497,029.50 and 82,035 is: 123,052.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,353 : 497,029.50 = 82,035 : x
  2. Step 2: Convert to fraction form
    331,353/497,029.50 = 82,035/x
  3. Step 3: Cross multiply
    331,353x = 497,029.50 × 82,035
  4. Step 4: Simplify right side
    331,353x = 40,773,815,032.50
  5. Step 5: Solve for x
    x = 40,773,815,032.50/331,353
  6. Step 6: Final answer
    x = 123,052.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.