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Finding the Fourth Proportional to 681,644.70, 940,739.67 and 409,801.14

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Solution

The fourth proportional to 681,644.70, 940,739.67 and 409,801.14 is: 565,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,644.70 : 940,739.67 = 409,801.14 : x
  2. Step 2: Convert to fraction form
    681,644.70/940,739.67 = 409,801.14/x
  3. Step 3: Cross multiply
    681,644.70x = 940,739.67 × 409,801.14
  4. Step 4: Simplify right side
    681,644.70x = 385,516,189,209.22
  5. Step 5: Solve for x
    x = 385,516,189,209.22/681,644.70
  6. Step 6: Final answer
    x = 565,567.65

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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.