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Finding the Fourth Proportional to 331,808.75, 497,714.95 and 82,490.75

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Solution

The fourth proportional to 331,808.75, 497,714.95 and 82,490.75 is: 123,736.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,808.75 : 497,714.95 = 82,490.75 : x
  2. Step 2: Convert to fraction form
    331,808.75/497,714.95 = 82,490.75/x
  3. Step 3: Cross multiply
    331,808.75x = 497,714.95 × 82,490.75
  4. Step 4: Simplify right side
    331,808.75x = 41,056,879,511.71
  5. Step 5: Solve for x
    x = 41,056,879,511.71/331,808.75
  6. Step 6: Final answer
    x = 123,736.58

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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.