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Finding the Fourth Proportional to 331,467.30, 497,200.95 and 205,496.10

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Solution

The fourth proportional to 331,467.30, 497,200.95 and 205,496.10 is: 308,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,467.30 : 497,200.95 = 205,496.10 : x
  2. Step 2: Convert to fraction form
    331,467.30/497,200.95 = 205,496.10/x
  3. Step 3: Cross multiply
    331,467.30x = 497,200.95 × 205,496.10
  4. Step 4: Simplify right side
    331,467.30x = 102,172,856,141.30
  5. Step 5: Solve for x
    x = 102,172,856,141.30/331,467.30
  6. Step 6: Final answer
    x = 308,244.15

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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.