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Finding the Fourth Proportional to 369,092.82, 509,348.10 and 199,326.96

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Solution

The fourth proportional to 369,092.82, 509,348.10 and 199,326.96 is: 275,071.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,092.82 : 509,348.10 = 199,326.96 : x
  2. Step 2: Convert to fraction form
    369,092.82/509,348.10 = 199,326.96/x
  3. Step 3: Cross multiply
    369,092.82x = 509,348.10 × 199,326.96
  4. Step 4: Simplify right side
    369,092.82x = 101,526,808,354.78
  5. Step 5: Solve for x
    x = 101,526,808,354.78/369,092.82
  6. Step 6: Final answer
    x = 275,071.21

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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.