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Finding the Fourth Proportional to 296,512.92, 409,157.28 and 169,164

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Solution

The fourth proportional to 296,512.92, 409,157.28 and 169,164 is: 233,428.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,512.92 : 409,157.28 = 169,164 : x
  2. Step 2: Convert to fraction form
    296,512.92/409,157.28 = 169,164/x
  3. Step 3: Cross multiply
    296,512.92x = 409,157.28 × 169,164
  4. Step 4: Simplify right side
    296,512.92x = 69,214,682,113.92
  5. Step 5: Solve for x
    x = 69,214,682,113.92/296,512.92
  6. Step 6: Final answer
    x = 233,428.89

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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.