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Finding the Fourth Proportional to 401,012.17, 601,471.43 and 161,116.36

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Solution

The fourth proportional to 401,012.17, 601,471.43 and 161,116.36 is: 241,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,012.17 : 601,471.43 = 161,116.36 : x
  2. Step 2: Convert to fraction form
    401,012.17/601,471.43 = 161,116.36/x
  3. Step 3: Cross multiply
    401,012.17x = 601,471.43 × 161,116.36
  4. Step 4: Simplify right side
    401,012.17x = 96,906,887,445.59
  5. Step 5: Solve for x
    x = 96,906,887,445.59/401,012.17
  6. Step 6: Final answer
    x = 241,655.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.