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Finding the Fourth Proportional to 298,974.60, 448,461.90 and 204,496.20

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Solution

The fourth proportional to 298,974.60, 448,461.90 and 204,496.20 is: 306,744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,974.60 : 448,461.90 = 204,496.20 : x
  2. Step 2: Convert to fraction form
    298,974.60/448,461.90 = 204,496.20/x
  3. Step 3: Cross multiply
    298,974.60x = 448,461.90 × 204,496.20
  4. Step 4: Simplify right side
    298,974.60x = 91,708,754,394.78
  5. Step 5: Solve for x
    x = 91,708,754,394.78/298,974.60
  6. Step 6: Final answer
    x = 306,744.30

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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.