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Finding the Fourth Proportional to 470,028.15, 705,163.73 and 203,727.15

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Solution

The fourth proportional to 470,028.15, 705,163.73 and 203,727.15 is: 305,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,028.15 : 705,163.73 = 203,727.15 : x
  2. Step 2: Convert to fraction form
    470,028.15/705,163.73 = 203,727.15/x
  3. Step 3: Cross multiply
    470,028.15x = 705,163.73 × 203,727.15
  4. Step 4: Simplify right side
    470,028.15x = 143,660,995,977.63
  5. Step 5: Solve for x
    x = 143,660,995,977.63/470,028.15
  6. Step 6: Final answer
    x = 305,643.39

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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.