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Finding the Fourth Proportional to 403,309.44, 604,633.68 and 166,821.84

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Solution

The fourth proportional to 403,309.44, 604,633.68 and 166,821.84 is: 250,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,309.44 : 604,633.68 = 166,821.84 : x
  2. Step 2: Convert to fraction form
    403,309.44/604,633.68 = 166,821.84/x
  3. Step 3: Cross multiply
    403,309.44x = 604,633.68 × 166,821.84
  4. Step 4: Simplify right side
    403,309.44x = 100,866,103,023.57
  5. Step 5: Solve for x
    x = 100,866,103,023.57/403,309.44
  6. Step 6: Final answer
    x = 250,096.06

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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.