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Finding the Fourth Proportional to 361,200.77, 498,460.79 and 217,933.13

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Solution

The fourth proportional to 361,200.77, 498,460.79 and 217,933.13 is: 300,749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,200.77 : 498,460.79 = 217,933.13 : x
  2. Step 2: Convert to fraction form
    361,200.77/498,460.79 = 217,933.13/x
  3. Step 3: Cross multiply
    361,200.77x = 498,460.79 × 217,933.13
  4. Step 4: Simplify right side
    361,200.77x = 108,631,120,146.97
  5. Step 5: Solve for x
    x = 108,631,120,146.97/361,200.77
  6. Step 6: Final answer
    x = 300,749.97

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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.