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Finding the Fourth Proportional to 491,141.64, 677,768.40 and 273,348.84

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Solution

The fourth proportional to 491,141.64, 677,768.40 and 273,348.84 is: 377,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,141.64 : 677,768.40 = 273,348.84 : x
  2. Step 2: Convert to fraction form
    491,141.64/677,768.40 = 273,348.84/x
  3. Step 3: Cross multiply
    491,141.64x = 677,768.40 × 273,348.84
  4. Step 4: Simplify right side
    491,141.64x = 185,267,205,928.66
  5. Step 5: Solve for x
    x = 185,267,205,928.66/491,141.64
  6. Step 6: Final answer
    x = 377,217.47

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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.