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Finding the Fourth Proportional to 471,744.35, 706,961.86 and 214,949.35

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Solution

The fourth proportional to 471,744.35, 706,961.86 and 214,949.35 is: 322,125.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,744.35 : 706,961.86 = 214,949.35 : x
  2. Step 2: Convert to fraction form
    471,744.35/706,961.86 = 214,949.35/x
  3. Step 3: Cross multiply
    471,744.35x = 706,961.86 × 214,949.35
  4. Step 4: Simplify right side
    471,744.35x = 151,960,992,281.79
  5. Step 5: Solve for x
    x = 151,960,992,281.79/471,744.35
  6. Step 6: Final answer
    x = 322,125.73

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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.