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Finding the Fourth Proportional to 291,082.43, 401,683.29 and 162,016.62

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Solution

The fourth proportional to 291,082.43, 401,683.29 and 162,016.62 is: 223,577.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,082.43 : 401,683.29 = 162,016.62 : x
  2. Step 2: Convert to fraction form
    291,082.43/401,683.29 = 162,016.62/x
  3. Step 3: Cross multiply
    291,082.43x = 401,683.29 × 162,016.62
  4. Step 4: Simplify right side
    291,082.43x = 65,079,368,956.28
  5. Step 5: Solve for x
    x = 65,079,368,956.28/291,082.43
  6. Step 6: Final answer
    x = 223,577.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.