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Finding the Fourth Proportional to 422,592.56, 634,093.86 and 185,904.48

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Solution

The fourth proportional to 422,592.56, 634,093.86 and 185,904.48 is: 278,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,592.56 : 634,093.86 = 185,904.48 : x
  2. Step 2: Convert to fraction form
    422,592.56/634,093.86 = 185,904.48/x
  3. Step 3: Cross multiply
    422,592.56x = 634,093.86 × 185,904.48
  4. Step 4: Simplify right side
    422,592.56x = 117,880,889,314.49
  5. Step 5: Solve for x
    x = 117,880,889,314.49/422,592.56
  6. Step 6: Final answer
    x = 278,946.91

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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.