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Finding the Fourth Proportional to 422,653.19, 633,912.35 and 156,353.13

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Solution

The fourth proportional to 422,653.19, 633,912.35 and 156,353.13 is: 234,504.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,653.19 : 633,912.35 = 156,353.13 : x
  2. Step 2: Convert to fraction form
    422,653.19/633,912.35 = 156,353.13/x
  3. Step 3: Cross multiply
    422,653.19x = 633,912.35 × 156,353.13
  4. Step 4: Simplify right side
    422,653.19x = 99,114,179,286.39
  5. Step 5: Solve for x
    x = 99,114,179,286.39/422,653.19
  6. Step 6: Final answer
    x = 234,504.75

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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.