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Finding the Fourth Proportional to 323,198.48, 484,830.82 and 123,686.68

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Solution

The fourth proportional to 323,198.48, 484,830.82 and 123,686.68 is: 185,542.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,198.48 : 484,830.82 = 123,686.68 : x
  2. Step 2: Convert to fraction form
    323,198.48/484,830.82 = 123,686.68/x
  3. Step 3: Cross multiply
    323,198.48x = 484,830.82 × 123,686.68
  4. Step 4: Simplify right side
    323,198.48x = 59,967,114,487.48
  5. Step 5: Solve for x
    x = 59,967,114,487.48/323,198.48
  6. Step 6: Final answer
    x = 185,542.69

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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.