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Finding the Fourth Proportional to 288,606.63, 398,277.66 and 161,282.21

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Solution

The fourth proportional to 288,606.63, 398,277.66 and 161,282.21 is: 222,569.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,606.63 : 398,277.66 = 161,282.21 : x
  2. Step 2: Convert to fraction form
    288,606.63/398,277.66 = 161,282.21/x
  3. Step 3: Cross multiply
    288,606.63x = 398,277.66 × 161,282.21
  4. Step 4: Simplify right side
    288,606.63x = 64,235,099,207.04
  5. Step 5: Solve for x
    x = 64,235,099,207.04/288,606.63
  6. Step 6: Final answer
    x = 222,569.73

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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.