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Finding the Fourth Proportional to 296,515.92, 409,161.42 and 169,167

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Solution

The fourth proportional to 296,515.92, 409,161.42 and 169,167 is: 233,433.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,515.92 : 409,161.42 = 169,167 : x
  2. Step 2: Convert to fraction form
    296,515.92/409,161.42 = 169,167/x
  3. Step 3: Cross multiply
    296,515.92x = 409,161.42 × 169,167
  4. Step 4: Simplify right side
    296,515.92x = 69,216,609,937.14
  5. Step 5: Solve for x
    x = 69,216,609,937.14/296,515.92
  6. Step 6: Final answer
    x = 233,433.03

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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.