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Finding the Fourth Proportional to 365,633.36, 548,000.83 and 205,372.40

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Solution

The fourth proportional to 365,633.36, 548,000.83 and 205,372.40 is: 307,806.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,633.36 : 548,000.83 = 205,372.40 : x
  2. Step 2: Convert to fraction form
    365,633.36/548,000.83 = 205,372.40/x
  3. Step 3: Cross multiply
    365,633.36x = 548,000.83 × 205,372.40
  4. Step 4: Simplify right side
    365,633.36x = 112,544,245,659.09
  5. Step 5: Solve for x
    x = 112,544,245,659.09/365,633.36
  6. Step 6: Final answer
    x = 307,806.29

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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.