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Finding the Fourth Proportional to 305,982.84, 458,960.24 and 106,318.85

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Solution

The fourth proportional to 305,982.84, 458,960.24 and 106,318.85 is: 159,473.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,982.84 : 458,960.24 = 106,318.85 : x
  2. Step 2: Convert to fraction form
    305,982.84/458,960.24 = 106,318.85/x
  3. Step 3: Cross multiply
    305,982.84x = 458,960.24 × 106,318.85
  4. Step 4: Simplify right side
    305,982.84x = 48,796,126,325.72
  5. Step 5: Solve for x
    x = 48,796,126,325.72/305,982.84
  6. Step 6: Final answer
    x = 159,473.41

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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.