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Finding the Fourth Proportional to 404,102.10, 606,520.35 and 204,561.30

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Solution

The fourth proportional to 404,102.10, 606,520.35 and 204,561.30 is: 307,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,102.10 : 606,520.35 = 204,561.30 : x
  2. Step 2: Convert to fraction form
    404,102.10/606,520.35 = 204,561.30/x
  3. Step 3: Cross multiply
    404,102.10x = 606,520.35 × 204,561.30
  4. Step 4: Simplify right side
    404,102.10x = 124,070,591,272.46
  5. Step 5: Solve for x
    x = 124,070,591,272.46/404,102.10
  6. Step 6: Final answer
    x = 307,027.83

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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.