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Finding the Fourth Proportional to 361,957.68, 499,502.76 and 200,815.92

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Solution

The fourth proportional to 361,957.68, 499,502.76 and 200,815.92 is: 277,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,957.68 : 499,502.76 = 200,815.92 : x
  2. Step 2: Convert to fraction form
    361,957.68/499,502.76 = 200,815.92/x
  3. Step 3: Cross multiply
    361,957.68x = 499,502.76 × 200,815.92
  4. Step 4: Simplify right side
    361,957.68x = 100,308,106,291.94
  5. Step 5: Solve for x
    x = 100,308,106,291.94/361,957.68
  6. Step 6: Final answer
    x = 277,126.61

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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.