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Finding the Fourth Proportional to 331,820.64, 497,732.76 and 82,502.64

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Solution

The fourth proportional to 331,820.64, 497,732.76 and 82,502.64 is: 123,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,820.64 : 497,732.76 = 82,502.64 : x
  2. Step 2: Convert to fraction form
    331,820.64/497,732.76 = 82,502.64/x
  3. Step 3: Cross multiply
    331,820.64x = 497,732.76 × 82,502.64
  4. Step 4: Simplify right side
    331,820.64x = 41,064,266,714.49
  5. Step 5: Solve for x
    x = 41,064,266,714.49/331,820.64
  6. Step 6: Final answer
    x = 123,754.41

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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.