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Finding the Fourth Proportional to 361,490.12, 498,842.78 and 200,347.91

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Solution

The fourth proportional to 361,490.12, 498,842.78 and 200,347.91 is: 276,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,490.12 : 498,842.78 = 200,347.91 : x
  2. Step 2: Convert to fraction form
    361,490.12/498,842.78 = 200,347.91/x
  3. Step 3: Cross multiply
    361,490.12x = 498,842.78 × 200,347.91
  4. Step 4: Simplify right side
    361,490.12x = 99,942,104,895.64
  5. Step 5: Solve for x
    x = 99,942,104,895.64/361,490.12
  6. Step 6: Final answer
    x = 276,472.58

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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.