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Finding the Fourth Proportional to 331,442.40, 497,163.60 and 205,471.20

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Solution

The fourth proportional to 331,442.40, 497,163.60 and 205,471.20 is: 308,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,442.40 : 497,163.60 = 205,471.20 : x
  2. Step 2: Convert to fraction form
    331,442.40/497,163.60 = 205,471.20/x
  3. Step 3: Cross multiply
    331,442.40x = 497,163.60 × 205,471.20
  4. Step 4: Simplify right side
    331,442.40x = 102,152,801,488.32
  5. Step 5: Solve for x
    x = 102,152,801,488.32/331,442.40
  6. Step 6: Final answer
    x = 308,206.80

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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.