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Finding the Fourth Proportional to 296,519.92, 409,166.94 and 169,171

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Solution

The fourth proportional to 296,519.92, 409,166.94 and 169,171 is: 233,438.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,519.92 : 409,166.94 = 169,171 : x
  2. Step 2: Convert to fraction form
    296,519.92/409,166.94 = 169,171/x
  3. Step 3: Cross multiply
    296,519.92x = 409,166.94 × 169,171
  4. Step 4: Simplify right side
    296,519.92x = 69,219,180,406.74
  5. Step 5: Solve for x
    x = 69,219,180,406.74/296,519.92
  6. Step 6: Final answer
    x = 233,438.55

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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.