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Finding the Fourth Proportional to 355,952.58, 491,237.37 and 205,046.98

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Solution

The fourth proportional to 355,952.58, 491,237.37 and 205,046.98 is: 282,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,952.58 : 491,237.37 = 205,046.98 : x
  2. Step 2: Convert to fraction form
    355,952.58/491,237.37 = 205,046.98/x
  3. Step 3: Cross multiply
    355,952.58x = 491,237.37 × 205,046.98
  4. Step 4: Simplify right side
    355,952.58x = 100,726,739,181.64
  5. Step 5: Solve for x
    x = 100,726,739,181.64/355,952.58
  6. Step 6: Final answer
    x = 282,977.97

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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.