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Finding the Fourth Proportional to 331,820.76, 497,733.02 and 82,502.76

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Solution

The fourth proportional to 331,820.76, 497,733.02 and 82,502.76 is: 123,754.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,820.76 : 497,733.02 = 82,502.76 : x
  2. Step 2: Convert to fraction form
    331,820.76/497,733.02 = 82,502.76/x
  3. Step 3: Cross multiply
    331,820.76x = 497,733.02 × 82,502.76
  4. Step 4: Simplify right side
    331,820.76x = 41,064,347,893.14
  5. Step 5: Solve for x
    x = 41,064,347,893.14/331,820.76
  6. Step 6: Final answer
    x = 123,754.61

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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.