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Finding the Fourth Proportional to 361,461.22, 498,817.74 and 200,318.98

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Solution

The fourth proportional to 361,461.22, 498,817.74 and 200,318.98 is: 276,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,461.22 : 498,817.74 = 200,318.98 : x
  2. Step 2: Convert to fraction form
    361,461.22/498,817.74 = 200,318.98/x
  3. Step 3: Cross multiply
    361,461.22x = 498,817.74 × 200,318.98
  4. Step 4: Simplify right side
    361,461.22x = 99,922,660,882.71
  5. Step 5: Solve for x
    x = 99,922,660,882.71/361,461.22
  6. Step 6: Final answer
    x = 276,440.89

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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.