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Finding the Fourth Proportional to 471,126.43, 706,404.25 and 211,416.41

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Solution

The fourth proportional to 471,126.43, 706,404.25 and 211,416.41 is: 316,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,126.43 : 706,404.25 = 211,416.41 : x
  2. Step 2: Convert to fraction form
    471,126.43/706,404.25 = 211,416.41/x
  3. Step 3: Cross multiply
    471,126.43x = 706,404.25 × 211,416.41
  4. Step 4: Simplify right side
    471,126.43x = 149,345,450,543.74
  5. Step 5: Solve for x
    x = 149,345,450,543.74/471,126.43
  6. Step 6: Final answer
    x = 316,996.54

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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.