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Finding the Fourth Proportional to 344,505.69, 475,385.31 and 199,288.17

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Solution

The fourth proportional to 344,505.69, 475,385.31 and 199,288.17 is: 274,998.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,505.69 : 475,385.31 = 199,288.17 : x
  2. Step 2: Convert to fraction form
    344,505.69/475,385.31 = 199,288.17/x
  3. Step 3: Cross multiply
    344,505.69x = 475,385.31 × 199,288.17
  4. Step 4: Simplify right side
    344,505.69x = 94,738,668,474.78
  5. Step 5: Solve for x
    x = 94,738,668,474.78/344,505.69
  6. Step 6: Final answer
    x = 274,998.85

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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.