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Finding the Fourth Proportional to 298,151.37, 447,057.09 and 203,496.14

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Solution

The fourth proportional to 298,151.37, 447,057.09 and 203,496.14 is: 305,128.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,151.37 : 447,057.09 = 203,496.14 : x
  2. Step 2: Convert to fraction form
    298,151.37/447,057.09 = 203,496.14/x
  3. Step 3: Cross multiply
    298,151.37x = 447,057.09 × 203,496.14
  4. Step 4: Simplify right side
    298,151.37x = 90,974,389,939.35
  5. Step 5: Solve for x
    x = 90,974,389,939.35/298,151.37
  6. Step 6: Final answer
    x = 305,128.20

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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.