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Finding the Fourth Proportional to 361,392.58, 498,721.27 and 200,258.06

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Solution

The fourth proportional to 361,392.58, 498,721.27 and 200,258.06 is: 276,355.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,392.58 : 498,721.27 = 200,258.06 : x
  2. Step 2: Convert to fraction form
    361,392.58/498,721.27 = 200,258.06/x
  3. Step 3: Cross multiply
    361,392.58x = 498,721.27 × 200,258.06
  4. Step 4: Simplify right side
    361,392.58x = 99,872,954,010.94
  5. Step 5: Solve for x
    x = 99,872,954,010.94/361,392.58
  6. Step 6: Final answer
    x = 276,355.85

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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.