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Finding the Fourth Proportional to 298,914.80, 447,767.40 and 186,249.20

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Solution

The fourth proportional to 298,914.80, 447,767.40 and 186,249.20 is: 278,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,914.80 : 447,767.40 = 186,249.20 : x
  2. Step 2: Convert to fraction form
    298,914.80/447,767.40 = 186,249.20/x
  3. Step 3: Cross multiply
    298,914.80x = 447,767.40 × 186,249.20
  4. Step 4: Simplify right side
    298,914.80x = 83,396,320,036.08
  5. Step 5: Solve for x
    x = 83,396,320,036.08/298,914.80
  6. Step 6: Final answer
    x = 278,996.96

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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.