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Finding the Fourth Proportional to 422,212.38, 633,250.53 and 185,510.94

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Solution

The fourth proportional to 422,212.38, 633,250.53 and 185,510.94 is: 278,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,212.38 : 633,250.53 = 185,510.94 : x
  2. Step 2: Convert to fraction form
    422,212.38/633,250.53 = 185,510.94/x
  3. Step 3: Cross multiply
    422,212.38x = 633,250.53 × 185,510.94
  4. Step 4: Simplify right side
    422,212.38x = 117,474,901,075.80
  5. Step 5: Solve for x
    x = 117,474,901,075.80/422,212.38
  6. Step 6: Final answer
    x = 278,236.51

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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.