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Finding the Fourth Proportional to 296,986.38, 409,844.25 and 161,020.59

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Solution

The fourth proportional to 296,986.38, 409,844.25 and 161,020.59 is: 222,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,986.38 : 409,844.25 = 161,020.59 : x
  2. Step 2: Convert to fraction form
    296,986.38/409,844.25 = 161,020.59/x
  3. Step 3: Cross multiply
    296,986.38x = 409,844.25 × 161,020.59
  4. Step 4: Simplify right side
    296,986.38x = 65,993,362,943.11
  5. Step 5: Solve for x
    x = 65,993,362,943.11/296,986.38
  6. Step 6: Final answer
    x = 222,210.07

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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.