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Finding the Fourth Proportional to 361,208.88, 498,446.28 and 200,054.34

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Solution

The fourth proportional to 361,208.88, 498,446.28 and 200,054.34 is: 276,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,208.88 : 498,446.28 = 200,054.34 : x
  2. Step 2: Convert to fraction form
    361,208.88/498,446.28 = 200,054.34/x
  3. Step 3: Cross multiply
    361,208.88x = 498,446.28 × 200,054.34
  4. Step 4: Simplify right side
    361,208.88x = 99,716,341,570.86
  5. Step 5: Solve for x
    x = 99,716,341,570.86/361,208.88
  6. Step 6: Final answer
    x = 276,062.82

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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.