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Finding the Fourth Proportional to 361,928.60, 499,462.05 and 200,783.64

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Solution

The fourth proportional to 361,928.60, 499,462.05 and 200,783.64 is: 277,081.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,928.60 : 499,462.05 = 200,783.64 : x
  2. Step 2: Convert to fraction form
    361,928.60/499,462.05 = 200,783.64/x
  3. Step 3: Cross multiply
    361,928.60x = 499,462.05 × 200,783.64
  4. Step 4: Simplify right side
    361,928.60x = 100,283,807,436.94
  5. Step 5: Solve for x
    x = 100,283,807,436.94/361,928.60
  6. Step 6: Final answer
    x = 277,081.75

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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.