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Finding the Fourth Proportional to 331,361.50, 497,042.25 and 82,043.50

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Solution

The fourth proportional to 331,361.50, 497,042.25 and 82,043.50 is: 123,065.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,361.50 : 497,042.25 = 82,043.50 : x
  2. Step 2: Convert to fraction form
    331,361.50/497,042.25 = 82,043.50/x
  3. Step 3: Cross multiply
    331,361.50x = 497,042.25 × 82,043.50
  4. Step 4: Simplify right side
    331,361.50x = 40,779,085,837.88
  5. Step 5: Solve for x
    x = 40,779,085,837.88/331,361.50
  6. Step 6: Final answer
    x = 123,065.25

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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.