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Finding the Fourth Proportional to 476,845, 658,022.58 and 285,821.32

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Solution

The fourth proportional to 476,845, 658,022.58 and 285,821.32 is: 394,419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,845 : 658,022.58 = 285,821.32 : x
  2. Step 2: Convert to fraction form
    476,845/658,022.58 = 285,821.32/x
  3. Step 3: Cross multiply
    476,845x = 658,022.58 × 285,821.32
  4. Step 4: Simplify right side
    476,845x = 188,076,882,405.41
  5. Step 5: Solve for x
    x = 188,076,882,405.41/476,845
  6. Step 6: Final answer
    x = 394,419.32

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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.