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Finding the Fourth Proportional to 470,493.96, 705,768.27 and 170,973.37

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Solution

The fourth proportional to 470,493.96, 705,768.27 and 170,973.37 is: 256,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,493.96 : 705,768.27 = 170,973.37 : x
  2. Step 2: Convert to fraction form
    470,493.96/705,768.27 = 170,973.37/x
  3. Step 3: Cross multiply
    470,493.96x = 705,768.27 × 170,973.37
  4. Step 4: Simplify right side
    470,493.96x = 120,667,579,560.97
  5. Step 5: Solve for x
    x = 120,667,579,560.97/470,493.96
  6. Step 6: Final answer
    x = 256,469.99

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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.