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Finding the Fourth Proportional to 281,929.20, 422,965.80 and 198,985.20

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Solution

The fourth proportional to 281,929.20, 422,965.80 and 198,985.20 is: 298,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,929.20 : 422,965.80 = 198,985.20 : x
  2. Step 2: Convert to fraction form
    281,929.20/422,965.80 = 198,985.20/x
  3. Step 3: Cross multiply
    281,929.20x = 422,965.80 × 198,985.20
  4. Step 4: Simplify right side
    281,929.20x = 84,163,934,306.16
  5. Step 5: Solve for x
    x = 84,163,934,306.16/281,929.20
  6. Step 6: Final answer
    x = 298,528.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.