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Finding the Fourth Proportional to 306,921.80, 460,558.38 and 166,692.68

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Solution

The fourth proportional to 306,921.80, 460,558.38 and 166,692.68 is: 250,134.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,921.80 : 460,558.38 = 166,692.68 : x
  2. Step 2: Convert to fraction form
    306,921.80/460,558.38 = 166,692.68/x
  3. Step 3: Cross multiply
    306,921.80x = 460,558.38 × 166,692.68
  4. Step 4: Simplify right side
    306,921.80x = 76,771,710,658.66
  5. Step 5: Solve for x
    x = 76,771,710,658.66/306,921.80
  6. Step 6: Final answer
    x = 250,134.43

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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.