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Finding the Fourth Proportional to 296,995.34, 409,856.50 and 161,028.95

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Solution

The fourth proportional to 296,995.34, 409,856.50 and 161,028.95 is: 222,221.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,995.34 : 409,856.50 = 161,028.95 : x
  2. Step 2: Convert to fraction form
    296,995.34/409,856.50 = 161,028.95/x
  3. Step 3: Cross multiply
    296,995.34x = 409,856.50 × 161,028.95
  4. Step 4: Simplify right side
    296,995.34x = 65,998,759,393.82
  5. Step 5: Solve for x
    x = 65,998,759,393.82/296,995.34
  6. Step 6: Final answer
    x = 222,221.53

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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.