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Finding the Fourth Proportional to 369,180.08, 509,468.52 and 199,414.22

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Solution

The fourth proportional to 369,180.08, 509,468.52 and 199,414.22 is: 275,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,180.08 : 509,468.52 = 199,414.22 : x
  2. Step 2: Convert to fraction form
    369,180.08/509,468.52 = 199,414.22/x
  3. Step 3: Cross multiply
    369,180.08x = 509,468.52 × 199,414.22
  4. Step 4: Simplify right side
    369,180.08x = 101,595,267,530.35
  5. Step 5: Solve for x
    x = 101,595,267,530.35/369,180.08
  6. Step 6: Final answer
    x = 275,191.63

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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.