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Finding the Fourth Proportional to 523,857.75, 785,129.54 and 223,986.33

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Solution

The fourth proportional to 523,857.75, 785,129.54 and 223,986.33 is: 335,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,857.75 : 785,129.54 = 223,986.33 : x
  2. Step 2: Convert to fraction form
    523,857.75/785,129.54 = 223,986.33/x
  3. Step 3: Cross multiply
    523,857.75x = 785,129.54 × 223,986.33
  4. Step 4: Simplify right side
    523,857.75x = 175,858,283,119.26
  5. Step 5: Solve for x
    x = 175,858,283,119.26/523,857.75
  6. Step 6: Final answer
    x = 335,698.54

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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.