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Finding the Fourth Proportional to 620,194.94, 929,701.91 and 199,175.57

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Solution

The fourth proportional to 620,194.94, 929,701.91 and 199,175.57 is: 298,573.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,194.94 : 929,701.91 = 199,175.57 : x
  2. Step 2: Convert to fraction form
    620,194.94/929,701.91 = 199,175.57/x
  3. Step 3: Cross multiply
    620,194.94x = 929,701.91 × 199,175.57
  4. Step 4: Simplify right side
    620,194.94x = 185,173,902,209.95
  5. Step 5: Solve for x
    x = 185,173,902,209.95/620,194.94
  6. Step 6: Final answer
    x = 298,573.71

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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.