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Finding the Fourth Proportional to 274,992.59, 412,410.01 and 82,885.62

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Solution

The fourth proportional to 274,992.59, 412,410.01 and 82,885.62 is: 124,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,992.59 : 412,410.01 = 82,885.62 : x
  2. Step 2: Convert to fraction form
    274,992.59/412,410.01 = 82,885.62/x
  3. Step 3: Cross multiply
    274,992.59x = 412,410.01 × 82,885.62
  4. Step 4: Simplify right side
    274,992.59x = 34,182,859,474.77
  5. Step 5: Solve for x
    x = 34,182,859,474.77/274,992.59
  6. Step 6: Final answer
    x = 124,304.66

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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.