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Finding the Fourth Proportional to 670,659.76, 925,034.56 and 412,197.37

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Solution

The fourth proportional to 670,659.76, 925,034.56 and 412,197.37 is: 568,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,659.76 : 925,034.56 = 412,197.37 : x
  2. Step 2: Convert to fraction form
    670,659.76/925,034.56 = 412,197.37/x
  3. Step 3: Cross multiply
    670,659.76x = 925,034.56 × 412,197.37
  4. Step 4: Simplify right side
    670,659.76x = 381,296,809,448.03
  5. Step 5: Solve for x
    x = 381,296,809,448.03/670,659.76
  6. Step 6: Final answer
    x = 568,539.86

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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.