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Finding the Fourth Proportional to 331,833.54, 497,752.29 and 82,515.54

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Solution

The fourth proportional to 331,833.54, 497,752.29 and 82,515.54 is: 123,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,833.54 : 497,752.29 = 82,515.54 : x
  2. Step 2: Convert to fraction form
    331,833.54/497,752.29 = 82,515.54/x
  3. Step 3: Cross multiply
    331,833.54x = 497,752.29 × 82,515.54
  4. Step 4: Simplify right side
    331,833.54x = 41,072,298,995.59
  5. Step 5: Solve for x
    x = 41,072,298,995.59/331,833.54
  6. Step 6: Final answer
    x = 123,773.80

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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.