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Finding the Fourth Proportional to 620,194.43, 929,701.16 and 199,175.06

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Solution

The fourth proportional to 620,194.43, 929,701.16 and 199,175.06 is: 298,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,194.43 : 929,701.16 = 199,175.06 : x
  2. Step 2: Convert to fraction form
    620,194.43/929,701.16 = 199,175.06/x
  3. Step 3: Cross multiply
    620,194.43x = 929,701.16 × 199,175.06
  4. Step 4: Simplify right side
    620,194.43x = 185,173,285,653.45
  5. Step 5: Solve for x
    x = 185,173,285,653.45/620,194.43
  6. Step 6: Final answer
    x = 298,572.96

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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.