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Finding the Fourth Proportional to 331,328.30, 497,251.65 and 153,857.30

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Solution

The fourth proportional to 331,328.30, 497,251.65 and 153,857.30 is: 230,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,328.30 : 497,251.65 = 153,857.30 : x
  2. Step 2: Convert to fraction form
    331,328.30/497,251.65 = 153,857.30/x
  3. Step 3: Cross multiply
    331,328.30x = 497,251.65 × 153,857.30
  4. Step 4: Simplify right side
    331,328.30x = 76,505,796,289.55
  5. Step 5: Solve for x
    x = 76,505,796,289.55/331,328.30
  6. Step 6: Final answer
    x = 230,906.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.