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Finding the Fourth Proportional to 296,778.90, 409,696.77 and 169,429.92

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Solution

The fourth proportional to 296,778.90, 409,696.77 and 169,429.92 is: 233,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,778.90 : 409,696.77 = 169,429.92 : x
  2. Step 2: Convert to fraction form
    296,778.90/409,696.77 = 169,429.92/x
  3. Step 3: Cross multiply
    296,778.90x = 409,696.77 × 169,429.92
  4. Step 4: Simplify right side
    296,778.90x = 69,414,890,965.36
  5. Step 5: Solve for x
    x = 69,414,890,965.36/296,778.90
  6. Step 6: Final answer
    x = 233,894.29

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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.