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Finding the Fourth Proportional to 369,180.96, 509,469.74 and 199,415.09

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Solution

The fourth proportional to 369,180.96, 509,469.74 and 199,415.09 is: 275,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,180.96 : 509,469.74 = 199,415.09 : x
  2. Step 2: Convert to fraction form
    369,180.96/509,469.74 = 199,415.09/x
  3. Step 3: Cross multiply
    369,180.96x = 509,469.74 × 199,415.09
  4. Step 4: Simplify right side
    369,180.96x = 101,595,950,509.95
  5. Step 5: Solve for x
    x = 101,595,950,509.95/369,180.96
  6. Step 6: Final answer
    x = 275,192.82

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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.