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Finding the Fourth Proportional to 331,912.14, 497,870.01 and 82,594.14

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Solution

The fourth proportional to 331,912.14, 497,870.01 and 82,594.14 is: 123,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,912.14 : 497,870.01 = 82,594.14 : x
  2. Step 2: Convert to fraction form
    331,912.14/497,870.01 = 82,594.14/x
  3. Step 3: Cross multiply
    331,912.14x = 497,870.01 × 82,594.14
  4. Step 4: Simplify right side
    331,912.14x = 41,121,145,307.74
  5. Step 5: Solve for x
    x = 41,121,145,307.74/331,912.14
  6. Step 6: Final answer
    x = 123,891.66

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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.