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Finding the Fourth Proportional to 299,581.07, 413,232.03 and 227,803.73

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Solution

The fourth proportional to 299,581.07, 413,232.03 and 227,803.73 is: 314,224.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,581.07 : 413,232.03 = 227,803.73 : x
  2. Step 2: Convert to fraction form
    299,581.07/413,232.03 = 227,803.73/x
  3. Step 3: Cross multiply
    299,581.07x = 413,232.03 × 227,803.73
  4. Step 4: Simplify right side
    299,581.07x = 94,135,797,789.47
  5. Step 5: Solve for x
    x = 94,135,797,789.47/299,581.07
  6. Step 6: Final answer
    x = 314,224.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.