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Finding the Fourth Proportional to 569,833.50, 853,198.94 and 401,100.78

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Solution

The fourth proportional to 569,833.50, 853,198.94 and 401,100.78 is: 600,559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,833.50 : 853,198.94 = 401,100.78 : x
  2. Step 2: Convert to fraction form
    569,833.50/853,198.94 = 401,100.78/x
  3. Step 3: Cross multiply
    569,833.50x = 853,198.94 × 401,100.78
  4. Step 4: Simplify right side
    569,833.50x = 342,218,760,329.17
  5. Step 5: Solve for x
    x = 342,218,760,329.17/569,833.50
  6. Step 6: Final answer
    x = 600,559.22

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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.