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Finding the Fourth Proportional to 484,822.64, 726,728.60 and 271,277.46

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Solution

The fourth proportional to 484,822.64, 726,728.60 and 271,277.46 is: 406,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,822.64 : 726,728.60 = 271,277.46 : x
  2. Step 2: Convert to fraction form
    484,822.64/726,728.60 = 271,277.46/x
  3. Step 3: Cross multiply
    484,822.64x = 726,728.60 × 271,277.46
  4. Step 4: Simplify right side
    484,822.64x = 197,145,086,588.66
  5. Step 5: Solve for x
    x = 197,145,086,588.66/484,822.64
  6. Step 6: Final answer
    x = 406,633.41

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Why These Related Problems?

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