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Finding the Fourth Proportional to 344,330.40, 475,039.89 and 199,109.46

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Solution

The fourth proportional to 344,330.40, 475,039.89 and 199,109.46 is: 274,692.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,330.40 : 475,039.89 = 199,109.46 : x
  2. Step 2: Convert to fraction form
    344,330.40/475,039.89 = 199,109.46/x
  3. Step 3: Cross multiply
    344,330.40x = 475,039.89 × 199,109.46
  4. Step 4: Simplify right side
    344,330.40x = 94,584,935,976.36
  5. Step 5: Solve for x
    x = 94,584,935,976.36/344,330.40
  6. Step 6: Final answer
    x = 274,692.38

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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.