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Finding the Fourth Proportional to 285,708.40, 394,197.74 and 225,090.87

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Solution

The fourth proportional to 285,708.40, 394,197.74 and 225,090.87 is: 310,562.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,708.40 : 394,197.74 = 225,090.87 : x
  2. Step 2: Convert to fraction form
    285,708.40/394,197.74 = 225,090.87/x
  3. Step 3: Cross multiply
    285,708.40x = 394,197.74 × 225,090.87
  4. Step 4: Simplify right side
    285,708.40x = 88,730,310,489.03
  5. Step 5: Solve for x
    x = 88,730,310,489.03/285,708.40
  6. Step 6: Final answer
    x = 310,562.49

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