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Finding the Fourth Proportional to 331,552.60, 497,328.90 and 82,234.60

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Solution

The fourth proportional to 331,552.60, 497,328.90 and 82,234.60 is: 123,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,552.60 : 497,328.90 = 82,234.60 : x
  2. Step 2: Convert to fraction form
    331,552.60/497,328.90 = 82,234.60/x
  3. Step 3: Cross multiply
    331,552.60x = 497,328.90 × 82,234.60
  4. Step 4: Simplify right side
    331,552.60x = 40,897,643,159.94
  5. Step 5: Solve for x
    x = 40,897,643,159.94/331,552.60
  6. Step 6: Final answer
    x = 123,351.90

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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.