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Finding the Fourth Proportional to 369,305.94, 509,642.43 and 199,540.02

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Solution

The fourth proportional to 369,305.94, 509,642.43 and 199,540.02 is: 275,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,305.94 : 509,642.43 = 199,540.02 : x
  2. Step 2: Convert to fraction form
    369,305.94/509,642.43 = 199,540.02/x
  3. Step 3: Cross multiply
    369,305.94x = 509,642.43 × 199,540.02
  4. Step 4: Simplify right side
    369,305.94x = 101,694,060,675.05
  5. Step 5: Solve for x
    x = 101,694,060,675.05/369,305.94
  6. Step 6: Final answer
    x = 275,365.35

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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.