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Finding the Fourth Proportional to 416,622.69, 574,986.09 and 235,346.31

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Solution

The fourth proportional to 416,622.69, 574,986.09 and 235,346.31 is: 324,804.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,622.69 : 574,986.09 = 235,346.31 : x
  2. Step 2: Convert to fraction form
    416,622.69/574,986.09 = 235,346.31/x
  3. Step 3: Cross multiply
    416,622.69x = 574,986.09 × 235,346.31
  4. Step 4: Simplify right side
    416,622.69x = 135,320,855,465.38
  5. Step 5: Solve for x
    x = 135,320,855,465.38/416,622.69
  6. Step 6: Final answer
    x = 324,804.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.