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Finding the Fourth Proportional to 369,186.24, 509,476.98 and 199,420.38

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Solution

The fourth proportional to 369,186.24, 509,476.98 and 199,420.38 is: 275,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,186.24 : 509,476.98 = 199,420.38 : x
  2. Step 2: Convert to fraction form
    369,186.24/509,476.98 = 199,420.38/x
  3. Step 3: Cross multiply
    369,186.24x = 509,476.98 × 199,420.38
  4. Step 4: Simplify right side
    369,186.24x = 101,600,092,952.85
  5. Step 5: Solve for x
    x = 101,600,092,952.85/369,186.24
  6. Step 6: Final answer
    x = 275,200.11

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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.