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Finding the Fourth Proportional to 285,466.86, 393,986.22 and 164,584.49

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Solution

The fourth proportional to 285,466.86, 393,986.22 and 164,584.49 is: 227,150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,466.86 : 393,986.22 = 164,584.49 : x
  2. Step 2: Convert to fraction form
    285,466.86/393,986.22 = 164,584.49/x
  3. Step 3: Cross multiply
    285,466.86x = 393,986.22 × 164,584.49
  4. Step 4: Simplify right side
    285,466.86x = 64,844,018,498.60
  5. Step 5: Solve for x
    x = 64,844,018,498.60/285,466.86
  6. Step 6: Final answer
    x = 227,150.78

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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.