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Finding the Fourth Proportional to 412,165.53, 617,198.54 and 201,251.25

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Solution

The fourth proportional to 412,165.53, 617,198.54 and 201,251.25 is: 301,364.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,165.53 : 617,198.54 = 201,251.25 : x
  2. Step 2: Convert to fraction form
    412,165.53/617,198.54 = 201,251.25/x
  3. Step 3: Cross multiply
    412,165.53x = 617,198.54 × 201,251.25
  4. Step 4: Simplify right side
    412,165.53x = 124,211,976,666.92
  5. Step 5: Solve for x
    x = 124,211,976,666.92/412,165.53
  6. Step 6: Final answer
    x = 301,364.30

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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.