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Finding the Fourth Proportional to 298,981.60, 448,472.40 and 204,503.20

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Solution

The fourth proportional to 298,981.60, 448,472.40 and 204,503.20 is: 306,754.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,981.60 : 448,472.40 = 204,503.20 : x
  2. Step 2: Convert to fraction form
    298,981.60/448,472.40 = 204,503.20/x
  3. Step 3: Cross multiply
    298,981.60x = 448,472.40 × 204,503.20
  4. Step 4: Simplify right side
    298,981.60x = 91,714,040,911.68
  5. Step 5: Solve for x
    x = 91,714,040,911.68/298,981.60
  6. Step 6: Final answer
    x = 306,754.80

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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.