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Finding the Fourth Proportional to 296,985.38, 409,842.87 and 161,019.59

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Solution

The fourth proportional to 296,985.38, 409,842.87 and 161,019.59 is: 222,208.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,985.38 : 409,842.87 = 161,019.59 : x
  2. Step 2: Convert to fraction form
    296,985.38/409,842.87 = 161,019.59/x
  3. Step 3: Cross multiply
    296,985.38x = 409,842.87 × 161,019.59
  4. Step 4: Simplify right side
    296,985.38x = 65,992,730,891.82
  5. Step 5: Solve for x
    x = 65,992,730,891.82/296,985.38
  6. Step 6: Final answer
    x = 222,208.69

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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.