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Finding the Fourth Proportional to 296,591.76, 409,325.85 and 169,286.49

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Solution

The fourth proportional to 296,591.76, 409,325.85 and 169,286.49 is: 233,632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,591.76 : 409,325.85 = 169,286.49 : x
  2. Step 2: Convert to fraction form
    296,591.76/409,325.85 = 169,286.49/x
  3. Step 3: Cross multiply
    296,591.76x = 409,325.85 × 169,286.49
  4. Step 4: Simplify right side
    296,591.76x = 69,293,336,412.77
  5. Step 5: Solve for x
    x = 69,293,336,412.77/296,591.76
  6. Step 6: Final answer
    x = 233,632.03

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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.