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Finding the Fourth Proportional to 366,835.64, 550,408.98 and 200,429.24

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Solution

The fourth proportional to 366,835.64, 550,408.98 and 200,429.24 is: 300,728.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,835.64 : 550,408.98 = 200,429.24 : x
  2. Step 2: Convert to fraction form
    366,835.64/550,408.98 = 200,429.24/x
  3. Step 3: Cross multiply
    366,835.64x = 550,408.98 × 200,429.24
  4. Step 4: Simplify right side
    366,835.64x = 110,318,053,550.58
  5. Step 5: Solve for x
    x = 110,318,053,550.58/366,835.64
  6. Step 6: Final answer
    x = 300,728.83

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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.