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Finding the Fourth Proportional to 310,923, 466,357.64 and 189,311.96

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Solution

The fourth proportional to 310,923, 466,357.64 and 189,311.96 is: 283,951.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,923 : 466,357.64 = 189,311.96 : x
  2. Step 2: Convert to fraction form
    310,923/466,357.64 = 189,311.96/x
  3. Step 3: Cross multiply
    310,923x = 466,357.64 × 189,311.96
  4. Step 4: Simplify right side
    310,923x = 88,287,078,889.37
  5. Step 5: Solve for x
    x = 88,287,078,889.37/310,923
  6. Step 6: Final answer
    x = 283,951.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.