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Finding the Fourth Proportional to 274,605.96, 411,829.40 and 82,472.64

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Solution

The fourth proportional to 274,605.96, 411,829.40 and 82,472.64 is: 123,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,605.96 : 411,829.40 = 82,472.64 : x
  2. Step 2: Convert to fraction form
    274,605.96/411,829.40 = 82,472.64/x
  3. Step 3: Cross multiply
    274,605.96x = 411,829.40 × 82,472.64
  4. Step 4: Simplify right side
    274,605.96x = 33,964,657,847.62
  5. Step 5: Solve for x
    x = 33,964,657,847.62/274,605.96
  6. Step 6: Final answer
    x = 123,685.07

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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.