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Finding the Fourth Proportional to 470,315.88, 705,660.84 and 150,517.17

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Solution

The fourth proportional to 470,315.88, 705,660.84 and 150,517.17 is: 225,835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,315.88 : 705,660.84 = 150,517.17 : x
  2. Step 2: Convert to fraction form
    470,315.88/705,660.84 = 150,517.17/x
  3. Step 3: Cross multiply
    470,315.88x = 705,660.84 × 150,517.17
  4. Step 4: Simplify right side
    470,315.88x = 106,214,072,616.62
  5. Step 5: Solve for x
    x = 106,214,072,616.62/470,315.88
  6. Step 6: Final answer
    x = 225,835.61

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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.