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Finding the Fourth Proportional to 470,581.85, 705,560.73 and 171,026.84

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Solution

The fourth proportional to 470,581.85, 705,560.73 and 171,026.84 is: 256,426.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,581.85 : 705,560.73 = 171,026.84 : x
  2. Step 2: Convert to fraction form
    470,581.85/705,560.73 = 171,026.84/x
  3. Step 3: Cross multiply
    470,581.85x = 705,560.73 × 171,026.84
  4. Step 4: Simplify right side
    470,581.85x = 120,669,823,202.54
  5. Step 5: Solve for x
    x = 120,669,823,202.54/470,581.85
  6. Step 6: Final answer
    x = 256,426.85

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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.