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Finding the Fourth Proportional to 681,636.58, 940,728.46 and 409,793.02

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Solution

The fourth proportional to 681,636.58, 940,728.46 and 409,793.02 is: 565,556.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,636.58 : 940,728.46 = 409,793.02 : x
  2. Step 2: Convert to fraction form
    681,636.58/940,728.46 = 409,793.02/x
  3. Step 3: Cross multiply
    681,636.58x = 940,728.46 × 409,793.02
  4. Step 4: Simplify right side
    681,636.58x = 385,503,956,623.35
  5. Step 5: Solve for x
    x = 385,503,956,623.35/681,636.58
  6. Step 6: Final answer
    x = 565,556.44

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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.