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Finding the Fourth Proportional to 360,824.20, 497,938.36 and 199,690.36

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Solution

The fourth proportional to 360,824.20, 497,938.36 and 199,690.36 is: 275,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,824.20 : 497,938.36 = 199,690.36 : x
  2. Step 2: Convert to fraction form
    360,824.20/497,938.36 = 199,690.36/x
  3. Step 3: Cross multiply
    360,824.20x = 497,938.36 × 199,690.36
  4. Step 4: Simplify right side
    360,824.20x = 99,433,490,366.21
  5. Step 5: Solve for x
    x = 99,433,490,366.21/360,824.20
  6. Step 6: Final answer
    x = 275,573.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.