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Finding the Fourth Proportional to 331,912.89, 497,868.93 and 82,594.89

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Solution

The fourth proportional to 331,912.89, 497,868.93 and 82,594.89 is: 123,892.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,912.89 : 497,868.93 = 82,594.89 : x
  2. Step 2: Convert to fraction form
    331,912.89/497,868.93 = 82,594.89/x
  3. Step 3: Cross multiply
    331,912.89x = 497,868.93 × 82,594.89
  4. Step 4: Simplify right side
    331,912.89x = 41,121,429,507.77
  5. Step 5: Solve for x
    x = 41,121,429,507.77/331,912.89
  6. Step 6: Final answer
    x = 123,892.23

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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.