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Finding the Fourth Proportional to 369,342.54, 509,692.70 and 199,576.66

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Solution

The fourth proportional to 369,342.54, 509,692.70 and 199,576.66 is: 275,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,342.54 : 509,692.70 = 199,576.66 : x
  2. Step 2: Convert to fraction form
    369,342.54/509,692.70 = 199,576.66/x
  3. Step 3: Cross multiply
    369,342.54x = 509,692.70 × 199,576.66
  4. Step 4: Simplify right side
    369,342.54x = 101,722,766,692.38
  5. Step 5: Solve for x
    x = 101,722,766,692.38/369,342.54
  6. Step 6: Final answer
    x = 275,415.79

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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.