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Finding the Fourth Proportional to 394,932, 545,002.56 and 222,851.16

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Solution

The fourth proportional to 394,932, 545,002.56 and 222,851.16 is: 307,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,932 : 545,002.56 = 222,851.16 : x
  2. Step 2: Convert to fraction form
    394,932/545,002.56 = 222,851.16/x
  3. Step 3: Cross multiply
    394,932x = 545,002.56 × 222,851.16
  4. Step 4: Simplify right side
    394,932x = 121,454,452,698.97
  5. Step 5: Solve for x
    x = 121,454,452,698.97/394,932
  6. Step 6: Final answer
    x = 307,532.57

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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.