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Finding the Fourth Proportional to 470,759.50, 706,450.29 and 221,460.94

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Solution

The fourth proportional to 470,759.50, 706,450.29 and 221,460.94 is: 332,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,759.50 : 706,450.29 = 221,460.94 : x
  2. Step 2: Convert to fraction form
    470,759.50/706,450.29 = 221,460.94/x
  3. Step 3: Cross multiply
    470,759.50x = 706,450.29 × 221,460.94
  4. Step 4: Simplify right side
    470,759.50x = 156,451,145,286.67
  5. Step 5: Solve for x
    x = 156,451,145,286.67/470,759.50
  6. Step 6: Final answer
    x = 332,337.73

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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.