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Finding the Fourth Proportional to 361,046.44, 498,259.66 and 199,901.49

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Solution

The fourth proportional to 361,046.44, 498,259.66 and 199,901.49 is: 275,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,046.44 : 498,259.66 = 199,901.49 : x
  2. Step 2: Convert to fraction form
    361,046.44/498,259.66 = 199,901.49/x
  3. Step 3: Cross multiply
    361,046.44x = 498,259.66 × 199,901.49
  4. Step 4: Simplify right side
    361,046.44x = 99,602,848,440.89
  5. Step 5: Solve for x
    x = 99,602,848,440.89/361,046.44
  6. Step 6: Final answer
    x = 275,872.68

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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.