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Finding the Fourth Proportional to 290,523.13, 400,921.52 and 161,457.55

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Solution

The fourth proportional to 290,523.13, 400,921.52 and 161,457.55 is: 222,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,523.13 : 400,921.52 = 161,457.55 : x
  2. Step 2: Convert to fraction form
    290,523.13/400,921.52 = 161,457.55/x
  3. Step 3: Cross multiply
    290,523.13x = 400,921.52 × 161,457.55
  4. Step 4: Simplify right side
    290,523.13x = 64,731,808,169.37
  5. Step 5: Solve for x
    x = 64,731,808,169.37/290,523.13
  6. Step 6: Final answer
    x = 222,811.20

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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.