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Finding the Fourth Proportional to 288,709.07, 398,427.32 and 161,390.03

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Solution

The fourth proportional to 288,709.07, 398,427.32 and 161,390.03 is: 222,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,709.07 : 398,427.32 = 161,390.03 : x
  2. Step 2: Convert to fraction form
    288,709.07/398,427.32 = 161,390.03/x
  3. Step 3: Cross multiply
    288,709.07x = 398,427.32 × 161,390.03
  4. Step 4: Simplify right side
    288,709.07x = 64,302,195,538.96
  5. Step 5: Solve for x
    x = 64,302,195,538.96/288,709.07
  6. Step 6: Final answer
    x = 222,723.16

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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.