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Finding the Fourth Proportional to 491,977, 737,952.52 and 136,976.68

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Solution

The fourth proportional to 491,977, 737,952.52 and 136,976.68 is: 205,461.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,977 : 737,952.52 = 136,976.68 : x
  2. Step 2: Convert to fraction form
    491,977/737,952.52 = 136,976.68/x
  3. Step 3: Cross multiply
    491,977x = 737,952.52 × 136,976.68
  4. Step 4: Simplify right side
    491,977x = 101,082,286,187.23
  5. Step 5: Solve for x
    x = 101,082,286,187.23/491,977
  6. Step 6: Final answer
    x = 205,461.41

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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.