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Finding the Fourth Proportional to 296,995.74, 409,853.90 and 161,034.20

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Solution

The fourth proportional to 296,995.74, 409,853.90 and 161,034.20 is: 222,227.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,995.74 : 409,853.90 = 161,034.20 : x
  2. Step 2: Convert to fraction form
    296,995.74/409,853.90 = 161,034.20/x
  3. Step 3: Cross multiply
    296,995.74x = 409,853.90 × 161,034.20
  4. Step 4: Simplify right side
    296,995.74x = 66,000,494,903.38
  5. Step 5: Solve for x
    x = 66,000,494,903.38/296,995.74
  6. Step 6: Final answer
    x = 222,227.08

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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.