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Finding the Fourth Proportional to 383,584.80, 529,353.96 and 213,800.64

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Solution

The fourth proportional to 383,584.80, 529,353.96 and 213,800.64 is: 295,048.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,584.80 : 529,353.96 = 213,800.64 : x
  2. Step 2: Convert to fraction form
    383,584.80/529,353.96 = 213,800.64/x
  3. Step 3: Cross multiply
    383,584.80x = 529,353.96 × 213,800.64
  4. Step 4: Simplify right side
    383,584.80x = 113,176,215,434.53
  5. Step 5: Solve for x
    x = 113,176,215,434.53/383,584.80
  6. Step 6: Final answer
    x = 295,048.75

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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.