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Finding the Fourth Proportional to 331,911.64, 497,869.26 and 82,593.64

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Solution

The fourth proportional to 331,911.64, 497,869.26 and 82,593.64 is: 123,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,911.64 : 497,869.26 = 82,593.64 : x
  2. Step 2: Convert to fraction form
    331,911.64/497,869.26 = 82,593.64/x
  3. Step 3: Cross multiply
    331,911.64x = 497,869.26 × 82,593.64
  4. Step 4: Simplify right side
    331,911.64x = 41,120,834,427.51
  5. Step 5: Solve for x
    x = 41,120,834,427.51/331,911.64
  6. Step 6: Final answer
    x = 123,890.91

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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.