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Finding the Fourth Proportional to 422,371.44, 633,071.16 and 185,436.72

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Solution

The fourth proportional to 422,371.44, 633,071.16 and 185,436.72 is: 277,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,371.44 : 633,071.16 = 185,436.72 : x
  2. Step 2: Convert to fraction form
    422,371.44/633,071.16 = 185,436.72/x
  3. Step 3: Cross multiply
    422,371.44x = 633,071.16 × 185,436.72
  4. Step 4: Simplify right side
    422,371.44x = 117,394,639,437.00
  5. Step 5: Solve for x
    x = 117,394,639,437.00/422,371.44
  6. Step 6: Final answer
    x = 277,941.71

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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.