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Finding the Fourth Proportional to 569,627.70, 853,694.12 and 419,163.45

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Solution

The fourth proportional to 569,627.70, 853,694.12 and 419,163.45 is: 628,195.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,627.70 : 853,694.12 = 419,163.45 : x
  2. Step 2: Convert to fraction form
    569,627.70/853,694.12 = 419,163.45/x
  3. Step 3: Cross multiply
    569,627.70x = 853,694.12 × 419,163.45
  4. Step 4: Simplify right side
    569,627.70x = 357,837,370,488.10
  5. Step 5: Solve for x
    x = 357,837,370,488.10/569,627.70
  6. Step 6: Final answer
    x = 628,195.17

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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.