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Finding the Fourth Proportional to 298,209.60, 447,022.80 and 266,716.80

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Solution

The fourth proportional to 298,209.60, 447,022.80 and 266,716.80 is: 399,814.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,209.60 : 447,022.80 = 266,716.80 : x
  2. Step 2: Convert to fraction form
    298,209.60/447,022.80 = 266,716.80/x
  3. Step 3: Cross multiply
    298,209.60x = 447,022.80 × 266,716.80
  4. Step 4: Simplify right side
    298,209.60x = 119,228,490,743.04
  5. Step 5: Solve for x
    x = 119,228,490,743.04/298,209.60
  6. Step 6: Final answer
    x = 399,814.39

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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.