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Finding the Fourth Proportional to 307,184.53, 460,776.39 and 82,544.96

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Solution

The fourth proportional to 307,184.53, 460,776.39 and 82,544.96 is: 123,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,184.53 : 460,776.39 = 82,544.96 : x
  2. Step 2: Convert to fraction form
    307,184.53/460,776.39 = 82,544.96/x
  3. Step 3: Cross multiply
    307,184.53x = 460,776.39 × 82,544.96
  4. Step 4: Simplify right side
    307,184.53x = 38,034,770,597.48
  5. Step 5: Solve for x
    x = 38,034,770,597.48/307,184.53
  6. Step 6: Final answer
    x = 123,817.34

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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.