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Finding the Fourth Proportional to 275,448.64, 413,177.44 and 85,914

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Solution

The fourth proportional to 275,448.64, 413,177.44 and 85,914 is: 128,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,448.64 : 413,177.44 = 85,914 : x
  2. Step 2: Convert to fraction form
    275,448.64/413,177.44 = 85,914/x
  3. Step 3: Cross multiply
    275,448.64x = 413,177.44 × 85,914
  4. Step 4: Simplify right side
    275,448.64x = 35,497,726,580.16
  5. Step 5: Solve for x
    x = 35,497,726,580.16/275,448.64
  6. Step 6: Final answer
    x = 128,872.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.