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Finding the Fourth Proportional to 307,056.82, 460,723.47 and 166,604.98

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Solution

The fourth proportional to 307,056.82, 460,723.47 and 166,604.98 is: 249,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,056.82 : 460,723.47 = 166,604.98 : x
  2. Step 2: Convert to fraction form
    307,056.82/460,723.47 = 166,604.98/x
  3. Step 3: Cross multiply
    307,056.82x = 460,723.47 × 166,604.98
  4. Step 4: Simplify right side
    307,056.82x = 76,758,824,504.88
  5. Step 5: Solve for x
    x = 76,758,824,504.88/307,056.82
  6. Step 6: Final answer
    x = 249,982.48

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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.