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Finding the Fourth Proportional to 403,229.80, 604,844.70 and 166,742.20

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Solution

The fourth proportional to 403,229.80, 604,844.70 and 166,742.20 is: 250,113.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,229.80 : 604,844.70 = 166,742.20 : x
  2. Step 2: Convert to fraction form
    403,229.80/604,844.70 = 166,742.20/x
  3. Step 3: Cross multiply
    403,229.80x = 604,844.70 × 166,742.20
  4. Step 4: Simplify right side
    403,229.80x = 100,853,135,936.34
  5. Step 5: Solve for x
    x = 100,853,135,936.34/403,229.80
  6. Step 6: Final answer
    x = 250,113.30

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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.