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Finding the Fourth Proportional to 681,613.20, 940,696.20 and 409,769.64

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Solution

The fourth proportional to 681,613.20, 940,696.20 and 409,769.64 is: 565,524.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,613.20 : 940,696.20 = 409,769.64 : x
  2. Step 2: Convert to fraction form
    681,613.20/940,696.20 = 409,769.64/x
  3. Step 3: Cross multiply
    681,613.20x = 940,696.20 × 409,769.64
  4. Step 4: Simplify right side
    681,613.20x = 385,468,743,223.37
  5. Step 5: Solve for x
    x = 385,468,743,223.37/681,613.20
  6. Step 6: Final answer
    x = 565,524.18

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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.