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Finding the Fourth Proportional to 410,251.20, 616,010.40 and 223,627.20

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Solution

The fourth proportional to 410,251.20, 616,010.40 and 223,627.20 is: 335,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,251.20 : 616,010.40 = 223,627.20 : x
  2. Step 2: Convert to fraction form
    410,251.20/616,010.40 = 223,627.20/x
  3. Step 3: Cross multiply
    410,251.20x = 616,010.40 × 223,627.20
  4. Step 4: Simplify right side
    410,251.20x = 137,756,680,922.88
  5. Step 5: Solve for x
    x = 137,756,680,922.88/410,251.20
  6. Step 6: Final answer
    x = 335,786.17

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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.