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Finding the Fourth Proportional to 681,614.20, 940,697.58 and 409,770.64

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Solution

The fourth proportional to 681,614.20, 940,697.58 and 409,770.64 is: 565,525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,614.20 : 940,697.58 = 409,770.64 : x
  2. Step 2: Convert to fraction form
    681,614.20/940,697.58 = 409,770.64/x
  3. Step 3: Cross multiply
    681,614.20x = 940,697.58 × 409,770.64
  4. Step 4: Simplify right side
    681,614.20x = 385,470,249,403.05
  5. Step 5: Solve for x
    x = 385,470,249,403.05/681,614.20
  6. Step 6: Final answer
    x = 565,525.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.