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Finding the Fourth Proportional to 681,653.90, 940,684.25 and 409,877.44

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Solution

The fourth proportional to 681,653.90, 940,684.25 and 409,877.44 is: 565,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,653.90 : 940,684.25 = 409,877.44 : x
  2. Step 2: Convert to fraction form
    681,653.90/940,684.25 = 409,877.44/x
  3. Step 3: Cross multiply
    681,653.90x = 940,684.25 × 409,877.44
  4. Step 4: Simplify right side
    681,653.90x = 385,565,250,911.30
  5. Step 5: Solve for x
    x = 385,565,250,911.30/681,653.90
  6. Step 6: Final answer
    x = 565,631.99

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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.