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Finding the Fourth Proportional to 361,394.58, 498,724.02 and 200,260.06

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Solution

The fourth proportional to 361,394.58, 498,724.02 and 200,260.06 is: 276,358.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,394.58 : 498,724.02 = 200,260.06 : x
  2. Step 2: Convert to fraction form
    361,394.58/498,724.02 = 200,260.06/x
  3. Step 3: Cross multiply
    361,394.58x = 498,724.02 × 200,260.06
  4. Step 4: Simplify right side
    361,394.58x = 99,874,502,168.64
  5. Step 5: Solve for x
    x = 99,874,502,168.64/361,394.58
  6. Step 6: Final answer
    x = 276,358.61

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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.