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Finding the Fourth Proportional to 296,674.21, 409,309.69 and 167,593.82

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Solution

The fourth proportional to 296,674.21, 409,309.69 and 167,593.82 is: 231,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,674.21 : 409,309.69 = 167,593.82 : x
  2. Step 2: Convert to fraction form
    296,674.21/409,309.69 = 167,593.82/x
  3. Step 3: Cross multiply
    296,674.21x = 409,309.69 × 167,593.82
  4. Step 4: Simplify right side
    296,674.21x = 68,597,774,510.12
  5. Step 5: Solve for x
    x = 68,597,774,510.12/296,674.21
  6. Step 6: Final answer
    x = 231,222.57

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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.