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Finding the Fourth Proportional to 301,400.13, 415,952.97 and 199,248.44

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Solution

The fourth proportional to 301,400.13, 415,952.97 and 199,248.44 is: 274,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,400.13 : 415,952.97 = 199,248.44 : x
  2. Step 2: Convert to fraction form
    301,400.13/415,952.97 = 199,248.44/x
  3. Step 3: Cross multiply
    301,400.13x = 415,952.97 × 199,248.44
  4. Step 4: Simplify right side
    301,400.13x = 82,877,980,385.87
  5. Step 5: Solve for x
    x = 82,877,980,385.87/301,400.13
  6. Step 6: Final answer
    x = 274,976.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.