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Finding the Fourth Proportional to 296,990.94, 409,871.16 and 167,956.59

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Solution

The fourth proportional to 296,990.94, 409,871.16 and 167,956.59 is: 231,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,990.94 : 409,871.16 = 167,956.59 : x
  2. Step 2: Convert to fraction form
    296,990.94/409,871.16 = 167,956.59/x
  3. Step 3: Cross multiply
    296,990.94x = 409,871.16 × 167,956.59
  4. Step 4: Simplify right side
    296,990.94x = 68,840,562,372.94
  5. Step 5: Solve for x
    x = 68,840,562,372.94/296,990.94
  6. Step 6: Final answer
    x = 231,793.48

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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.